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Finding the Third Proportional to 259,360 and 536,720

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Solution

The third proportional to 259,360 and 536,720 is: 1,110,689.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,360 : 536,720 = 536,720 : x
  2. Step 2: Convert to fraction form
    259,360/536,720 = 536,720/x
  3. Step 3: Cross multiply
    259,360x = 536,720 × 536,720
  4. Step 4: Simplify right side
    259,360x = 288,068,358,400
  5. Step 5: Solve for x
    x = 288,068,358,400/259,360
  6. Step 6: Final answer
    x = 1,110,689.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.