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Finding the Third Proportional to 338,038 and 717,540

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Solution

The third proportional to 338,038 and 717,540 is: 1,523,094.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,038 : 717,540 = 717,540 : x
  2. Step 2: Convert to fraction form
    338,038/717,540 = 717,540/x
  3. Step 3: Cross multiply
    338,038x = 717,540 × 717,540
  4. Step 4: Simplify right side
    338,038x = 514,863,651,600
  5. Step 5: Solve for x
    x = 514,863,651,600/338,038
  6. Step 6: Final answer
    x = 1,523,094.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.