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Finding the Third Proportional to 448,049 and 709,809

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Solution

The third proportional to 448,049 and 709,809 is: 1,124,494.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,049 : 709,809 = 709,809 : x
  2. Step 2: Convert to fraction form
    448,049/709,809 = 709,809/x
  3. Step 3: Cross multiply
    448,049x = 709,809 × 709,809
  4. Step 4: Simplify right side
    448,049x = 503,828,816,481
  5. Step 5: Solve for x
    x = 503,828,816,481/448,049
  6. Step 6: Final answer
    x = 1,124,494.90

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.