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Finding the Third Proportional to 360,550 and 560,491

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Solution

The third proportional to 360,550 and 560,491 is: 871,308.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,550 : 560,491 = 560,491 : x
  2. Step 2: Convert to fraction form
    360,550/560,491 = 560,491/x
  3. Step 3: Cross multiply
    360,550x = 560,491 × 560,491
  4. Step 4: Simplify right side
    360,550x = 314,150,161,081
  5. Step 5: Solve for x
    x = 314,150,161,081/360,550
  6. Step 6: Final answer
    x = 871,308.17

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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.