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Finding the Third Proportional to 45,238 and 66,506

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Solution

The third proportional to 45,238 and 66,506 is: 97,772.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,238 : 66,506 = 66,506 : x
  2. Step 2: Convert to fraction form
    45,238/66,506 = 66,506/x
  3. Step 3: Cross multiply
    45,238x = 66,506 × 66,506
  4. Step 4: Simplify right side
    45,238x = 4,423,048,036
  5. Step 5: Solve for x
    x = 4,423,048,036/45,238
  6. Step 6: Final answer
    x = 97,772.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.