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Finding the Third Proportional to 64,635,470 and 138,228,892

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Solution

The third proportional to 64,635,470 and 138,228,892 is: 295,615,187.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,635,470 : 138,228,892 = 138,228,892 : x
  2. Step 2: Convert to fraction form
    64,635,470/138,228,892 = 138,228,892/x
  3. Step 3: Cross multiply
    64,635,470x = 138,228,892 × 138,228,892
  4. Step 4: Simplify right side
    64,635,470x = 19,107,226,583,547,664
  5. Step 5: Solve for x
    x = 19,107,226,583,547,664/64,635,470
  6. Step 6: Final answer
    x = 295,615,187.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.