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Finding the Third Proportional to 210,134.50 and 315,418

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Solution

The third proportional to 210,134.50 and 315,418 is: 473,451.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,134.50 : 315,418 = 315,418 : x
  2. Step 2: Convert to fraction form
    210,134.50/315,418 = 315,418/x
  3. Step 3: Cross multiply
    210,134.50x = 315,418 × 315,418
  4. Step 4: Simplify right side
    210,134.50x = 99,488,514,724
  5. Step 5: Solve for x
    x = 99,488,514,724/210,134.50
  6. Step 6: Final answer
    x = 473,451.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.