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Finding the Third Proportional to 280,102 and 614,628

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Solution

The third proportional to 280,102 and 614,628 is: 1,348,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,102 : 614,628 = 614,628 : x
  2. Step 2: Convert to fraction form
    280,102/614,628 = 614,628/x
  3. Step 3: Cross multiply
    280,102x = 614,628 × 614,628
  4. Step 4: Simplify right side
    280,102x = 377,767,578,384
  5. Step 5: Solve for x
    x = 377,767,578,384/280,102
  6. Step 6: Final answer
    x = 1,348,678.62

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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.