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Finding the Third Proportional to 499,719 and 767,630

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Solution

The third proportional to 499,719 and 767,630 is: 1,179,174.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,719 : 767,630 = 767,630 : x
  2. Step 2: Convert to fraction form
    499,719/767,630 = 767,630/x
  3. Step 3: Cross multiply
    499,719x = 767,630 × 767,630
  4. Step 4: Simplify right side
    499,719x = 589,255,816,900
  5. Step 5: Solve for x
    x = 589,255,816,900/499,719
  6. Step 6: Final answer
    x = 1,179,174.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.