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Finding the Third Proportional to 448,479 and 695,135

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Solution

The third proportional to 448,479 and 695,135 is: 1,077,447.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,479 : 695,135 = 695,135 : x
  2. Step 2: Convert to fraction form
    448,479/695,135 = 695,135/x
  3. Step 3: Cross multiply
    448,479x = 695,135 × 695,135
  4. Step 4: Simplify right side
    448,479x = 483,212,668,225
  5. Step 5: Solve for x
    x = 483,212,668,225/448,479
  6. Step 6: Final answer
    x = 1,077,447.70

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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.