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Finding the Third Proportional to 315,200.25 and 424,666.13

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Solution

The third proportional to 315,200.25 and 424,666.13 is: 572,148.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,200.25 : 424,666.13 = 424,666.13 : x
  2. Step 2: Convert to fraction form
    315,200.25/424,666.13 = 424,666.13/x
  3. Step 3: Cross multiply
    315,200.25x = 424,666.13 × 424,666.13
  4. Step 4: Simplify right side
    315,200.25x = 180,341,317,722.52
  5. Step 5: Solve for x
    x = 180,341,317,722.52/315,200.25
  6. Step 6: Final answer
    x = 572,148.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.