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Finding the Third Proportional to 264,432 and 402,840

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Solution

The third proportional to 264,432 and 402,840 is: 613,692.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,432 : 402,840 = 402,840 : x
  2. Step 2: Convert to fraction form
    264,432/402,840 = 402,840/x
  3. Step 3: Cross multiply
    264,432x = 402,840 × 402,840
  4. Step 4: Simplify right side
    264,432x = 162,280,065,600
  5. Step 5: Solve for x
    x = 162,280,065,600/264,432
  6. Step 6: Final answer
    x = 613,692.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.