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Finding the Third Proportional to 357,280 and 568,720

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Solution

The third proportional to 357,280 and 568,720 is: 905,291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,280 : 568,720 = 568,720 : x
  2. Step 2: Convert to fraction form
    357,280/568,720 = 568,720/x
  3. Step 3: Cross multiply
    357,280x = 568,720 × 568,720
  4. Step 4: Simplify right side
    357,280x = 323,442,438,400
  5. Step 5: Solve for x
    x = 323,442,438,400/357,280
  6. Step 6: Final answer
    x = 905,291.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.