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Finding the Third Proportional to 548,409 and 847,507

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Solution

The third proportional to 548,409 and 847,507 is: 1,309,730.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,409 : 847,507 = 847,507 : x
  2. Step 2: Convert to fraction form
    548,409/847,507 = 847,507/x
  3. Step 3: Cross multiply
    548,409x = 847,507 × 847,507
  4. Step 4: Simplify right side
    548,409x = 718,268,115,049
  5. Step 5: Solve for x
    x = 718,268,115,049/548,409
  6. Step 6: Final answer
    x = 1,309,730.72

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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.