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Finding the Third Proportional to 280,113 and 614,646

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Solution

The third proportional to 280,113 and 614,646 is: 1,348,704.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,113 : 614,646 = 614,646 : x
  2. Step 2: Convert to fraction form
    280,113/614,646 = 614,646/x
  3. Step 3: Cross multiply
    280,113x = 614,646 × 614,646
  4. Step 4: Simplify right side
    280,113x = 377,789,705,316
  5. Step 5: Solve for x
    x = 377,789,705,316/280,113
  6. Step 6: Final answer
    x = 1,348,704.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.