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Finding the Third Proportional to 28,924 and 63,389

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Solution

The third proportional to 28,924 and 63,389 is: 138,921.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,924 : 63,389 = 63,389 : x
  2. Step 2: Convert to fraction form
    28,924/63,389 = 63,389/x
  3. Step 3: Cross multiply
    28,924x = 63,389 × 63,389
  4. Step 4: Simplify right side
    28,924x = 4,018,165,321
  5. Step 5: Solve for x
    x = 4,018,165,321/28,924
  6. Step 6: Final answer
    x = 138,921.49

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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.