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Finding the Third Proportional to 484,486.88 and 743,680.13

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Solution

The third proportional to 484,486.88 and 743,680.13 is: 1,141,537.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,486.88 : 743,680.13 = 743,680.13 : x
  2. Step 2: Convert to fraction form
    484,486.88/743,680.13 = 743,680.13/x
  3. Step 3: Cross multiply
    484,486.88x = 743,680.13 × 743,680.13
  4. Step 4: Simplify right side
    484,486.88x = 553,060,128,320.02
  5. Step 5: Solve for x
    x = 553,060,128,320.02/484,486.88
  6. Step 6: Final answer
    x = 1,141,537.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.