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Finding the Third Proportional to 350,688 and 542,400

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Solution

The third proportional to 350,688 and 542,400 is: 838,915.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,688 : 542,400 = 542,400 : x
  2. Step 2: Convert to fraction form
    350,688/542,400 = 542,400/x
  3. Step 3: Cross multiply
    350,688x = 542,400 × 542,400
  4. Step 4: Simplify right side
    350,688x = 294,197,760,000
  5. Step 5: Solve for x
    x = 294,197,760,000/350,688
  6. Step 6: Final answer
    x = 838,915.96

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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.