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Finding the Third Proportional to 128,467,720,046 and 278,282,799,580

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Solution

The third proportional to 128,467,720,046 and 278,282,799,580 is: 602,807,588,663.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,467,720,046 : 278,282,799,580 = 278,282,799,580 : x
  2. Step 2: Convert to fraction form
    128,467,720,046/278,282,799,580 = 278,282,799,580/x
  3. Step 3: Cross multiply
    128,467,720,046x = 278,282,799,580 × 278,282,799,580
  4. Step 4: Simplify right side
    128,467,720,046x = 77,441,316,542,082,445,213,696
  5. Step 5: Solve for x
    x = 77,441,316,542,082,445,213,696/128,467,720,046
  6. Step 6: Final answer
    x = 602,807,588,663.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.