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Finding the Third Proportional to 349,769 and 522,487

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Solution

The third proportional to 349,769 and 522,487 is: 780,494.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,769 : 522,487 = 522,487 : x
  2. Step 2: Convert to fraction form
    349,769/522,487 = 522,487/x
  3. Step 3: Cross multiply
    349,769x = 522,487 × 522,487
  4. Step 4: Simplify right side
    349,769x = 272,992,665,169
  5. Step 5: Solve for x
    x = 272,992,665,169/349,769
  6. Step 6: Final answer
    x = 780,494.17

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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.