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Finding the Third Proportional to 141,619.64 and 299,641.78

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Solution

The third proportional to 141,619.64 and 299,641.78 is: 633,988.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,619.64 : 299,641.78 = 299,641.78 : x
  2. Step 2: Convert to fraction form
    141,619.64/299,641.78 = 299,641.78/x
  3. Step 3: Cross multiply
    141,619.64x = 299,641.78 × 299,641.78
  4. Step 4: Simplify right side
    141,619.64x = 89,785,197,070.67
  5. Step 5: Solve for x
    x = 89,785,197,070.67/141,619.64
  6. Step 6: Final answer
    x = 633,988.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.