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Finding the Third Proportional to 64,428 and 90,729

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Solution

The third proportional to 64,428 and 90,729 is: 127,766.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,428 : 90,729 = 90,729 : x
  2. Step 2: Convert to fraction form
    64,428/90,729 = 90,729/x
  3. Step 3: Cross multiply
    64,428x = 90,729 × 90,729
  4. Step 4: Simplify right side
    64,428x = 8,231,751,441
  5. Step 5: Solve for x
    x = 8,231,751,441/64,428
  6. Step 6: Final answer
    x = 127,766.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.