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Finding the Third Proportional to 145,314.75 and 313,561.50

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Solution

The third proportional to 145,314.75 and 313,561.50 is: 676,605.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,314.75 : 313,561.50 = 313,561.50 : x
  2. Step 2: Convert to fraction form
    145,314.75/313,561.50 = 313,561.50/x
  3. Step 3: Cross multiply
    145,314.75x = 313,561.50 × 313,561.50
  4. Step 4: Simplify right side
    145,314.75x = 98,320,814,282.25
  5. Step 5: Solve for x
    x = 98,320,814,282.25/145,314.75
  6. Step 6: Final answer
    x = 676,605.88

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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.