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Finding the Third Proportional to 64,985,912 and 142,727,128

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Solution

The third proportional to 64,985,912 and 142,727,128 is: 313,468,449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,985,912 : 142,727,128 = 142,727,128 : x
  2. Step 2: Convert to fraction form
    64,985,912/142,727,128 = 142,727,128/x
  3. Step 3: Cross multiply
    64,985,912x = 142,727,128 × 142,727,128
  4. Step 4: Simplify right side
    64,985,912x = 20,371,033,067,128,384
  5. Step 5: Solve for x
    x = 20,371,033,067,128,384/64,985,912
  6. Step 6: Final answer
    x = 313,468,449.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.