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Finding the Third Proportional to 322,663 and 499,358

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Solution

The third proportional to 322,663 and 499,358 is: 772,813.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,663 : 499,358 = 499,358 : x
  2. Step 2: Convert to fraction form
    322,663/499,358 = 499,358/x
  3. Step 3: Cross multiply
    322,663x = 499,358 × 499,358
  4. Step 4: Simplify right side
    322,663x = 249,358,412,164
  5. Step 5: Solve for x
    x = 249,358,412,164/322,663
  6. Step 6: Final answer
    x = 772,813.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.