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Finding the Third Proportional to 280,038 and 614,508

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Solution

The third proportional to 280,038 and 614,508 is: 1,348,460.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,038 : 614,508 = 614,508 : x
  2. Step 2: Convert to fraction form
    280,038/614,508 = 614,508/x
  3. Step 3: Cross multiply
    280,038x = 614,508 × 614,508
  4. Step 4: Simplify right side
    280,038x = 377,620,082,064
  5. Step 5: Solve for x
    x = 377,620,082,064/280,038
  6. Step 6: Final answer
    x = 1,348,460.14

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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.