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Finding the Third Proportional to 312,177.16 and 668,641.08

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Solution

The third proportional to 312,177.16 and 668,641.08 is: 1,432,138.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,177.16 : 668,641.08 = 668,641.08 : x
  2. Step 2: Convert to fraction form
    312,177.16/668,641.08 = 668,641.08/x
  3. Step 3: Cross multiply
    312,177.16x = 668,641.08 × 668,641.08
  4. Step 4: Simplify right side
    312,177.16x = 447,080,891,356.16
  5. Step 5: Solve for x
    x = 447,080,891,356.16/312,177.16
  6. Step 6: Final answer
    x = 1,432,138.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.