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Finding the Third Proportional to 448,409 and 747,347

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Solution

The third proportional to 448,409 and 747,347 is: 1,245,576.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,409 : 747,347 = 747,347 : x
  2. Step 2: Convert to fraction form
    448,409/747,347 = 747,347/x
  3. Step 3: Cross multiply
    448,409x = 747,347 × 747,347
  4. Step 4: Simplify right side
    448,409x = 558,527,538,409
  5. Step 5: Solve for x
    x = 558,527,538,409/448,409
  6. Step 6: Final answer
    x = 1,245,576.11

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.