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Finding the Third Proportional to 268,250 and 402,407

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Solution

The third proportional to 268,250 and 402,407 is: 603,658.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,250 : 402,407 = 402,407 : x
  2. Step 2: Convert to fraction form
    268,250/402,407 = 402,407/x
  3. Step 3: Cross multiply
    268,250x = 402,407 × 402,407
  4. Step 4: Simplify right side
    268,250x = 161,931,393,649
  5. Step 5: Solve for x
    x = 161,931,393,649/268,250
  6. Step 6: Final answer
    x = 603,658.50

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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.