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Finding the Third Proportional to 317,472 and 510,432

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Solution

The third proportional to 317,472 and 510,432 is: 820,673.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,472 : 510,432 = 510,432 : x
  2. Step 2: Convert to fraction form
    317,472/510,432 = 510,432/x
  3. Step 3: Cross multiply
    317,472x = 510,432 × 510,432
  4. Step 4: Simplify right side
    317,472x = 260,540,826,624
  5. Step 5: Solve for x
    x = 260,540,826,624/317,472
  6. Step 6: Final answer
    x = 820,673.40

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.