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Finding the Third Proportional to 350,902.13 and 738,472.50

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Solution

The third proportional to 350,902.13 and 738,472.50 is: 1,554,113.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,902.13 : 738,472.50 = 738,472.50 : x
  2. Step 2: Convert to fraction form
    350,902.13/738,472.50 = 738,472.50/x
  3. Step 3: Cross multiply
    350,902.13x = 738,472.50 × 738,472.50
  4. Step 4: Simplify right side
    350,902.13x = 545,341,633,256.25
  5. Step 5: Solve for x
    x = 545,341,633,256.25/350,902.13
  6. Step 6: Final answer
    x = 1,554,113.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.