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Finding the Third Proportional to 210,352 and 315,624

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Solution

The third proportional to 210,352 and 315,624 is: 473,580.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,352 : 315,624 = 315,624 : x
  2. Step 2: Convert to fraction form
    210,352/315,624 = 315,624/x
  3. Step 3: Cross multiply
    210,352x = 315,624 × 315,624
  4. Step 4: Simplify right side
    210,352x = 99,618,509,376
  5. Step 5: Solve for x
    x = 99,618,509,376/210,352
  6. Step 6: Final answer
    x = 473,580.04

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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.