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Finding the Third Proportional to 63,352 and 138,470

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Solution

The third proportional to 63,352 and 138,470 is: 302,657.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,352 : 138,470 = 138,470 : x
  2. Step 2: Convert to fraction form
    63,352/138,470 = 138,470/x
  3. Step 3: Cross multiply
    63,352x = 138,470 × 138,470
  4. Step 4: Simplify right side
    63,352x = 19,173,940,900
  5. Step 5: Solve for x
    x = 19,173,940,900/63,352
  6. Step 6: Final answer
    x = 302,657.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.