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Finding the Third Proportional to 838,604 and 1,117,287

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Solution

The third proportional to 838,604 and 1,117,287 is: 1,488,581.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,604 : 1,117,287 = 1,117,287 : x
  2. Step 2: Convert to fraction form
    838,604/1,117,287 = 1,117,287/x
  3. Step 3: Cross multiply
    838,604x = 1,117,287 × 1,117,287
  4. Step 4: Simplify right side
    838,604x = 1,248,330,240,369
  5. Step 5: Solve for x
    x = 1,248,330,240,369/838,604
  6. Step 6: Final answer
    x = 1,488,581.31

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.