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Finding the Third Proportional to 448,481 and 695,138

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Solution

The third proportional to 448,481 and 695,138 is: 1,077,452.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,481 : 695,138 = 695,138 : x
  2. Step 2: Convert to fraction form
    448,481/695,138 = 695,138/x
  3. Step 3: Cross multiply
    448,481x = 695,138 × 695,138
  4. Step 4: Simplify right side
    448,481x = 483,216,839,044
  5. Step 5: Solve for x
    x = 483,216,839,044/448,481
  6. Step 6: Final answer
    x = 1,077,452.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.