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Finding the Third Proportional to 45,643 and 66,439

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Solution

The third proportional to 45,643 and 66,439 is: 96,710.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,643 : 66,439 = 66,439 : x
  2. Step 2: Convert to fraction form
    45,643/66,439 = 66,439/x
  3. Step 3: Cross multiply
    45,643x = 66,439 × 66,439
  4. Step 4: Simplify right side
    45,643x = 4,414,140,721
  5. Step 5: Solve for x
    x = 4,414,140,721/45,643
  6. Step 6: Final answer
    x = 96,710.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.