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Finding the Third Proportional to 360,729 and 560,742

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Solution

The third proportional to 360,729 and 560,742 is: 871,655.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,729 : 560,742 = 560,742 : x
  2. Step 2: Convert to fraction form
    360,729/560,742 = 560,742/x
  3. Step 3: Cross multiply
    360,729x = 560,742 × 560,742
  4. Step 4: Simplify right side
    360,729x = 314,431,590,564
  5. Step 5: Solve for x
    x = 314,431,590,564/360,729
  6. Step 6: Final answer
    x = 871,655.98

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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.