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Finding the Third Proportional to 578,362.50 and 864,141.75

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Solution

The third proportional to 578,362.50 and 864,141.75 is: 1,291,129.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,362.50 : 864,141.75 = 864,141.75 : x
  2. Step 2: Convert to fraction form
    578,362.50/864,141.75 = 864,141.75/x
  3. Step 3: Cross multiply
    578,362.50x = 864,141.75 × 864,141.75
  4. Step 4: Simplify right side
    578,362.50x = 746,740,964,093.06
  5. Step 5: Solve for x
    x = 746,740,964,093.06/578,362.50
  6. Step 6: Final answer
    x = 1,291,129.64

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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.