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Finding the Third Proportional to 448,503 and 686,769

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Solution

The third proportional to 448,503 and 686,769 is: 1,051,613.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,503 : 686,769 = 686,769 : x
  2. Step 2: Convert to fraction form
    448,503/686,769 = 686,769/x
  3. Step 3: Cross multiply
    448,503x = 686,769 × 686,769
  4. Step 4: Simplify right side
    448,503x = 471,651,659,361
  5. Step 5: Solve for x
    x = 471,651,659,361/448,503
  6. Step 6: Final answer
    x = 1,051,613.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.