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Finding the Third Proportional to 432,690 and 645,432

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Solution

The third proportional to 432,690 and 645,432 is: 962,773.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,690 : 645,432 = 645,432 : x
  2. Step 2: Convert to fraction form
    432,690/645,432 = 645,432/x
  3. Step 3: Cross multiply
    432,690x = 645,432 × 645,432
  4. Step 4: Simplify right side
    432,690x = 416,582,466,624
  5. Step 5: Solve for x
    x = 416,582,466,624/432,690
  6. Step 6: Final answer
    x = 962,773.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.