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Finding the Third Proportional to 440,077.50 and 699,484.50

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Solution

The third proportional to 440,077.50 and 699,484.50 is: 1,111,800.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,077.50 : 699,484.50 = 699,484.50 : x
  2. Step 2: Convert to fraction form
    440,077.50/699,484.50 = 699,484.50/x
  3. Step 3: Cross multiply
    440,077.50x = 699,484.50 × 699,484.50
  4. Step 4: Simplify right side
    440,077.50x = 489,278,565,740.25
  5. Step 5: Solve for x
    x = 489,278,565,740.25/440,077.50
  6. Step 6: Final answer
    x = 1,111,800.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.