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Finding the Third Proportional to 63,860 and 101,066

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Solution

The third proportional to 63,860 and 101,066 is: 159,948.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,860 : 101,066 = 101,066 : x
  2. Step 2: Convert to fraction form
    63,860/101,066 = 101,066/x
  3. Step 3: Cross multiply
    63,860x = 101,066 × 101,066
  4. Step 4: Simplify right side
    63,860x = 10,214,336,356
  5. Step 5: Solve for x
    x = 10,214,336,356/63,860
  6. Step 6: Final answer
    x = 159,948.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.