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Finding the Third Proportional to 145,218.25 and 314,562.25

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Solution

The third proportional to 145,218.25 and 314,562.25 is: 681,384.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,218.25 : 314,562.25 = 314,562.25 : x
  2. Step 2: Convert to fraction form
    145,218.25/314,562.25 = 314,562.25/x
  3. Step 3: Cross multiply
    145,218.25x = 314,562.25 × 314,562.25
  4. Step 4: Simplify right side
    145,218.25x = 98,949,409,125.06
  5. Step 5: Solve for x
    x = 98,949,409,125.06/145,218.25
  6. Step 6: Final answer
    x = 681,384.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.