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Finding the Third Proportional to 499,721.91 and 790,604.16

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Solution

The third proportional to 499,721.91 and 790,604.16 is: 1,250,805.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,721.91 : 790,604.16 = 790,604.16 : x
  2. Step 2: Convert to fraction form
    499,721.91/790,604.16 = 790,604.16/x
  3. Step 3: Cross multiply
    499,721.91x = 790,604.16 × 790,604.16
  4. Step 4: Simplify right side
    499,721.91x = 625,054,931,879.77
  5. Step 5: Solve for x
    x = 625,054,931,879.77/499,721.91
  6. Step 6: Final answer
    x = 1,250,805.55

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.