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Finding the Third Proportional to 268,460 and 402,669

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Solution

The third proportional to 268,460 and 402,669 is: 603,972.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,460 : 402,669 = 402,669 : x
  2. Step 2: Convert to fraction form
    268,460/402,669 = 402,669/x
  3. Step 3: Cross multiply
    268,460x = 402,669 × 402,669
  4. Step 4: Simplify right side
    268,460x = 162,142,323,561
  5. Step 5: Solve for x
    x = 162,142,323,561/268,460
  6. Step 6: Final answer
    x = 603,972.00

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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.