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Finding the Third Proportional to 278,113.50 and 610,340.06

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Solution

The third proportional to 278,113.50 and 610,340.06 is: 1,339,435.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,113.50 : 610,340.06 = 610,340.06 : x
  2. Step 2: Convert to fraction form
    278,113.50/610,340.06 = 610,340.06/x
  3. Step 3: Cross multiply
    278,113.50x = 610,340.06 × 610,340.06
  4. Step 4: Simplify right side
    278,113.50x = 372,514,991,892.50
  5. Step 5: Solve for x
    x = 372,514,991,892.50/278,113.50
  6. Step 6: Final answer
    x = 1,339,435.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.