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Finding the Third Proportional to 778,117.50 and 1,178,034.75

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Solution

The third proportional to 778,117.50 and 1,178,034.75 is: 1,783,491.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,117.50 : 1,178,034.75 = 1,178,034.75 : x
  2. Step 2: Convert to fraction form
    778,117.50/1,178,034.75 = 1,178,034.75/x
  3. Step 3: Cross multiply
    778,117.50x = 1,178,034.75 × 1,178,034.75
  4. Step 4: Simplify right side
    778,117.50x = 1,387,765,872,207.56
  5. Step 5: Solve for x
    x = 1,387,765,872,207.56/778,117.50
  6. Step 6: Final answer
    x = 1,783,491.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.