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Finding the Third Proportional to 42,053 and 63,257

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Solution

The third proportional to 42,053 and 63,257 is: 95,152.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,053 : 63,257 = 63,257 : x
  2. Step 2: Convert to fraction form
    42,053/63,257 = 63,257/x
  3. Step 3: Cross multiply
    42,053x = 63,257 × 63,257
  4. Step 4: Simplify right side
    42,053x = 4,001,448,049
  5. Step 5: Solve for x
    x = 4,001,448,049/42,053
  6. Step 6: Final answer
    x = 95,152.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.