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Finding the Third Proportional to 350,700 and 542,418

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Solution

The third proportional to 350,700 and 542,418 is: 838,942.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,700 : 542,418 = 542,418 : x
  2. Step 2: Convert to fraction form
    350,700/542,418 = 542,418/x
  3. Step 3: Cross multiply
    350,700x = 542,418 × 542,418
  4. Step 4: Simplify right side
    350,700x = 294,217,286,724
  5. Step 5: Solve for x
    x = 294,217,286,724/350,700
  6. Step 6: Final answer
    x = 838,942.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.