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Finding the Third Proportional to 448,109 and 709,898

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Solution

The third proportional to 448,109 and 709,898 is: 1,124,626.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,109 : 709,898 = 709,898 : x
  2. Step 2: Convert to fraction form
    448,109/709,898 = 709,898/x
  3. Step 3: Cross multiply
    448,109x = 709,898 × 709,898
  4. Step 4: Simplify right side
    448,109x = 503,955,170,404
  5. Step 5: Solve for x
    x = 503,955,170,404/448,109
  6. Step 6: Final answer
    x = 1,124,626.31

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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.