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Finding the Third Proportional to 578,677.50 and 859,633.50

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Solution

The third proportional to 578,677.50 and 859,633.50 is: 1,276,997.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,677.50 : 859,633.50 = 859,633.50 : x
  2. Step 2: Convert to fraction form
    578,677.50/859,633.50 = 859,633.50/x
  3. Step 3: Cross multiply
    578,677.50x = 859,633.50 × 859,633.50
  4. Step 4: Simplify right side
    578,677.50x = 738,969,754,322.25
  5. Step 5: Solve for x
    x = 738,969,754,322.25/578,677.50
  6. Step 6: Final answer
    x = 1,276,997.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.