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Finding the Third Proportional to 141,948 and 312,698.25

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Solution

The third proportional to 141,948 and 312,698.25 is: 688,845.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,948 : 312,698.25 = 312,698.25 : x
  2. Step 2: Convert to fraction form
    141,948/312,698.25 = 312,698.25/x
  3. Step 3: Cross multiply
    141,948x = 312,698.25 × 312,698.25
  4. Step 4: Simplify right side
    141,948x = 97,780,195,553.06
  5. Step 5: Solve for x
    x = 97,780,195,553.06/141,948
  6. Step 6: Final answer
    x = 688,845.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.