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Finding the Third Proportional to 256,602 and 402,526

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Solution

The third proportional to 256,602 and 402,526 is: 631,433.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,602 : 402,526 = 402,526 : x
  2. Step 2: Convert to fraction form
    256,602/402,526 = 402,526/x
  3. Step 3: Cross multiply
    256,602x = 402,526 × 402,526
  4. Step 4: Simplify right side
    256,602x = 162,027,180,676
  5. Step 5: Solve for x
    x = 162,027,180,676/256,602
  6. Step 6: Final answer
    x = 631,433.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.