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Finding the Third Proportional to 128,988,904,888 and 282,772,721,072

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Solution

The third proportional to 128,988,904,888 and 282,772,721,072 is: 619,901,470,222.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,988,904,888 : 282,772,721,072 = 282,772,721,072 : x
  2. Step 2: Convert to fraction form
    128,988,904,888/282,772,721,072 = 282,772,721,072/x
  3. Step 3: Cross multiply
    128,988,904,888x = 282,772,721,072 × 282,772,721,072
  4. Step 4: Simplify right side
    128,988,904,888x = 79,960,411,782,463,113,658,368
  5. Step 5: Solve for x
    x = 79,960,411,782,463,113,658,368/128,988,904,888
  6. Step 6: Final answer
    x = 619,901,470,222.51

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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.