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Finding the Third Proportional to 155,585.81 and 316,878.75

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Solution

The third proportional to 155,585.81 and 316,878.75 is: 645,381.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,585.81 : 316,878.75 = 316,878.75 : x
  2. Step 2: Convert to fraction form
    155,585.81/316,878.75 = 316,878.75/x
  3. Step 3: Cross multiply
    155,585.81x = 316,878.75 × 316,878.75
  4. Step 4: Simplify right side
    155,585.81x = 100,412,142,201.56
  5. Step 5: Solve for x
    x = 100,412,142,201.56/155,585.81
  6. Step 6: Final answer
    x = 645,381.10

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.