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Finding the Third Proportional to 42,006.50 and 66,547

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Solution

The third proportional to 42,006.50 and 66,547 is: 105,424.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,006.50 : 66,547 = 66,547 : x
  2. Step 2: Convert to fraction form
    42,006.50/66,547 = 66,547/x
  3. Step 3: Cross multiply
    42,006.50x = 66,547 × 66,547
  4. Step 4: Simplify right side
    42,006.50x = 4,428,503,209
  5. Step 5: Solve for x
    x = 4,428,503,209/42,006.50
  6. Step 6: Final answer
    x = 105,424.24

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.