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Finding the Third Proportional to 280,113 and 377,400

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Solution

The third proportional to 280,113 and 377,400 is: 508,476.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,113 : 377,400 = 377,400 : x
  2. Step 2: Convert to fraction form
    280,113/377,400 = 377,400/x
  3. Step 3: Cross multiply
    280,113x = 377,400 × 377,400
  4. Step 4: Simplify right side
    280,113x = 142,430,760,000
  5. Step 5: Solve for x
    x = 142,430,760,000/280,113
  6. Step 6: Final answer
    x = 508,476.08

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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.