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Finding the Third Proportional to 281,123 and 400,657

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Solution

The third proportional to 281,123 and 400,657 is: 571,017.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,123 : 400,657 = 400,657 : x
  2. Step 2: Convert to fraction form
    281,123/400,657 = 400,657/x
  3. Step 3: Cross multiply
    281,123x = 400,657 × 400,657
  4. Step 4: Simplify right side
    281,123x = 160,526,031,649
  5. Step 5: Solve for x
    x = 160,526,031,649/281,123
  6. Step 6: Final answer
    x = 571,017.07

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.