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Finding the Third Proportional to 245,560.50 and 378,454.50

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Solution

The third proportional to 245,560.50 and 378,454.50 is: 583,268.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,560.50 : 378,454.50 = 378,454.50 : x
  2. Step 2: Convert to fraction form
    245,560.50/378,454.50 = 378,454.50/x
  3. Step 3: Cross multiply
    245,560.50x = 378,454.50 × 378,454.50
  4. Step 4: Simplify right side
    245,560.50x = 143,227,808,570.25
  5. Step 5: Solve for x
    x = 143,227,808,570.25/245,560.50
  6. Step 6: Final answer
    x = 583,268.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.