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Finding the Third Proportional to 42,658 and 66,403

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Solution

The third proportional to 42,658 and 66,403 is: 103,365.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,658 : 66,403 = 66,403 : x
  2. Step 2: Convert to fraction form
    42,658/66,403 = 66,403/x
  3. Step 3: Cross multiply
    42,658x = 66,403 × 66,403
  4. Step 4: Simplify right side
    42,658x = 4,409,358,409
  5. Step 5: Solve for x
    x = 4,409,358,409/42,658
  6. Step 6: Final answer
    x = 103,365.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.