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Finding the Third Proportional to 346,545.56 and 518,400.56

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Solution

The third proportional to 346,545.56 and 518,400.56 is: 775,479.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,545.56 : 518,400.56 = 518,400.56 : x
  2. Step 2: Convert to fraction form
    346,545.56/518,400.56 = 518,400.56/x
  3. Step 3: Cross multiply
    346,545.56x = 518,400.56 × 518,400.56
  4. Step 4: Simplify right side
    346,545.56x = 268,739,143,200.32
  5. Step 5: Solve for x
    x = 268,739,143,200.32/346,545.56
  6. Step 6: Final answer
    x = 775,479.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.