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Finding the Third Proportional to 145,991.25 and 314,473.50

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Solution

The third proportional to 145,991.25 and 314,473.50 is: 677,393.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,991.25 : 314,473.50 = 314,473.50 : x
  2. Step 2: Convert to fraction form
    145,991.25/314,473.50 = 314,473.50/x
  3. Step 3: Cross multiply
    145,991.25x = 314,473.50 × 314,473.50
  4. Step 4: Simplify right side
    145,991.25x = 98,893,582,202.25
  5. Step 5: Solve for x
    x = 98,893,582,202.25/145,991.25
  6. Step 6: Final answer
    x = 677,393.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.