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Finding the Third Proportional to 66,461.91 and 143,359.31

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Solution

The third proportional to 66,461.91 and 143,359.31 is: 309,228.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,461.91 : 143,359.31 = 143,359.31 : x
  2. Step 2: Convert to fraction form
    66,461.91/143,359.31 = 143,359.31/x
  3. Step 3: Cross multiply
    66,461.91x = 143,359.31 × 143,359.31
  4. Step 4: Simplify right side
    66,461.91x = 20,551,892,480.47
  5. Step 5: Solve for x
    x = 20,551,892,480.47/66,461.91
  6. Step 6: Final answer
    x = 309,228.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.