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Finding the Third Proportional to 361,440 and 542,160

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Solution

The third proportional to 361,440 and 542,160 is: 813,240

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,440 : 542,160 = 542,160 : x
  2. Step 2: Convert to fraction form
    361,440/542,160 = 542,160/x
  3. Step 3: Cross multiply
    361,440x = 542,160 × 542,160
  4. Step 4: Simplify right side
    361,440x = 293,937,465,600
  5. Step 5: Solve for x
    x = 293,937,465,600/361,440
  6. Step 6: Final answer
    x = 813,240

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.