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Finding the Third Proportional to 542,160 and 813,240

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Solution

The third proportional to 542,160 and 813,240 is: 1,219,860

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,160 : 813,240 = 813,240 : x
  2. Step 2: Convert to fraction form
    542,160/813,240 = 813,240/x
  3. Step 3: Cross multiply
    542,160x = 813,240 × 813,240
  4. Step 4: Simplify right side
    542,160x = 661,359,297,600
  5. Step 5: Solve for x
    x = 661,359,297,600/542,160
  6. Step 6: Final answer
    x = 1,219,860

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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.