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Finding the Third Proportional to 817,685 and 1,218,535

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Solution

The third proportional to 817,685 and 1,218,535 is: 1,815,891.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,685 : 1,218,535 = 1,218,535 : x
  2. Step 2: Convert to fraction form
    817,685/1,218,535 = 1,218,535/x
  3. Step 3: Cross multiply
    817,685x = 1,218,535 × 1,218,535
  4. Step 4: Simplify right side
    817,685x = 1,484,827,546,225
  5. Step 5: Solve for x
    x = 1,484,827,546,225/817,685
  6. Step 6: Final answer
    x = 1,815,891.87

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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.