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Finding the Third Proportional to 145,264.50 and 213,464.25

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Solution

The third proportional to 145,264.50 and 213,464.25 is: 313,682.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,264.50 : 213,464.25 = 213,464.25 : x
  2. Step 2: Convert to fraction form
    145,264.50/213,464.25 = 213,464.25/x
  3. Step 3: Cross multiply
    145,264.50x = 213,464.25 × 213,464.25
  4. Step 4: Simplify right side
    145,264.50x = 45,566,986,028.06
  5. Step 5: Solve for x
    x = 45,566,986,028.06/145,264.50
  6. Step 6: Final answer
    x = 313,682.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.