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Finding the Third Proportional to 360,818 and 560,865

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Solution

The third proportional to 360,818 and 560,865 is: 871,823.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,818 : 560,865 = 560,865 : x
  2. Step 2: Convert to fraction form
    360,818/560,865 = 560,865/x
  3. Step 3: Cross multiply
    360,818x = 560,865 × 560,865
  4. Step 4: Simplify right side
    360,818x = 314,569,548,225
  5. Step 5: Solve for x
    x = 314,569,548,225/360,818
  6. Step 6: Final answer
    x = 871,823.32

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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.