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Finding the Third Proportional to 288,200.53 and 626,235.05

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Solution

The third proportional to 288,200.53 and 626,235.05 is: 1,360,755.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,200.53 : 626,235.05 = 626,235.05 : x
  2. Step 2: Convert to fraction form
    288,200.53/626,235.05 = 626,235.05/x
  3. Step 3: Cross multiply
    288,200.53x = 626,235.05 × 626,235.05
  4. Step 4: Simplify right side
    288,200.53x = 392,170,333,934.53
  5. Step 5: Solve for x
    x = 392,170,333,934.53/288,200.53
  6. Step 6: Final answer
    x = 1,360,755.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.