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Finding the Third Proportional to 42,600 and 64,497

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Solution

The third proportional to 42,600 and 64,497 is: 97,649.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,600 : 64,497 = 64,497 : x
  2. Step 2: Convert to fraction form
    42,600/64,497 = 64,497/x
  3. Step 3: Cross multiply
    42,600x = 64,497 × 64,497
  4. Step 4: Simplify right side
    42,600x = 4,159,863,009
  5. Step 5: Solve for x
    x = 4,159,863,009/42,600
  6. Step 6: Final answer
    x = 97,649.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.