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Finding the Third Proportional to 298,970 and 402,775

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Solution

The third proportional to 298,970 and 402,775 is: 542,622.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,970 : 402,775 = 402,775 : x
  2. Step 2: Convert to fraction form
    298,970/402,775 = 402,775/x
  3. Step 3: Cross multiply
    298,970x = 402,775 × 402,775
  4. Step 4: Simplify right side
    298,970x = 162,227,700,625
  5. Step 5: Solve for x
    x = 162,227,700,625/298,970
  6. Step 6: Final answer
    x = 542,622.00

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.