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Finding the Third Proportional to 611,815.50 and 860,041.13

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Solution

The third proportional to 611,815.50 and 860,041.13 is: 1,208,976.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,815.50 : 860,041.13 = 860,041.13 : x
  2. Step 2: Convert to fraction form
    611,815.50/860,041.13 = 860,041.13/x
  3. Step 3: Cross multiply
    611,815.50x = 860,041.13 × 860,041.13
  4. Step 4: Simplify right side
    611,815.50x = 739,670,736,691.27
  5. Step 5: Solve for x
    x = 739,670,736,691.27/611,815.50
  6. Step 6: Final answer
    x = 1,208,976.79

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.