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Finding the Third Proportional to 513,360 and 1,125,920

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Solution

The third proportional to 513,360 and 1,125,920 is: 2,469,409.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,360 : 1,125,920 = 1,125,920 : x
  2. Step 2: Convert to fraction form
    513,360/1,125,920 = 1,125,920/x
  3. Step 3: Cross multiply
    513,360x = 1,125,920 × 1,125,920
  4. Step 4: Simplify right side
    513,360x = 1,267,695,846,400
  5. Step 5: Solve for x
    x = 1,267,695,846,400/513,360
  6. Step 6: Final answer
    x = 2,469,409.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.