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Finding the Third Proportional to 572,172.50 and 840,742.50

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Solution

The third proportional to 572,172.50 and 840,742.50 is: 1,235,375.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,172.50 : 840,742.50 = 840,742.50 : x
  2. Step 2: Convert to fraction form
    572,172.50/840,742.50 = 840,742.50/x
  3. Step 3: Cross multiply
    572,172.50x = 840,742.50 × 840,742.50
  4. Step 4: Simplify right side
    572,172.50x = 706,847,951,306.25
  5. Step 5: Solve for x
    x = 706,847,951,306.25/572,172.50
  6. Step 6: Final answer
    x = 1,235,375.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.