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Finding the Third Proportional to 91,752 and 201,540

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Solution

The third proportional to 91,752 and 201,540 is: 442,697.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,752 : 201,540 = 201,540 : x
  2. Step 2: Convert to fraction form
    91,752/201,540 = 201,540/x
  3. Step 3: Cross multiply
    91,752x = 201,540 × 201,540
  4. Step 4: Simplify right side
    91,752x = 40,618,371,600
  5. Step 5: Solve for x
    x = 40,618,371,600/91,752
  6. Step 6: Final answer
    x = 442,697.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.