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Finding the Third Proportional to 128,988,904,893 and 282,772,721,082

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Solution

The third proportional to 128,988,904,893 and 282,772,721,082 is: 619,901,470,242.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,988,904,893 : 282,772,721,082 = 282,772,721,082 : x
  2. Step 2: Convert to fraction form
    128,988,904,893/282,772,721,082 = 282,772,721,082/x
  3. Step 3: Cross multiply
    128,988,904,893x = 282,772,721,082 × 282,772,721,082
  4. Step 4: Simplify right side
    128,988,904,893x = 79,960,411,788,118,562,177,024
  5. Step 5: Solve for x
    x = 79,960,411,788,118,562,177,024/128,988,904,893
  6. Step 6: Final answer
    x = 619,901,470,242.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.