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Finding the Third Proportional to 547,754 and 817,959

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Solution

The third proportional to 547,754 and 817,959 is: 1,221,455.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,754 : 817,959 = 817,959 : x
  2. Step 2: Convert to fraction form
    547,754/817,959 = 817,959/x
  3. Step 3: Cross multiply
    547,754x = 817,959 × 817,959
  4. Step 4: Simplify right side
    547,754x = 669,056,925,681
  5. Step 5: Solve for x
    x = 669,056,925,681/547,754
  6. Step 6: Final answer
    x = 1,221,455.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.