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Finding the Third Proportional to 360,728 and 560,740

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Solution

The third proportional to 360,728 and 560,740 is: 871,652.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,728 : 560,740 = 560,740 : x
  2. Step 2: Convert to fraction form
    360,728/560,740 = 560,740/x
  3. Step 3: Cross multiply
    360,728x = 560,740 × 560,740
  4. Step 4: Simplify right side
    360,728x = 314,429,347,600
  5. Step 5: Solve for x
    x = 314,429,347,600/360,728
  6. Step 6: Final answer
    x = 871,652.18

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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.