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Finding the Third Proportional to 145,203.38 and 312,655.88

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Solution

The third proportional to 145,203.38 and 312,655.88 is: 673,219.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,203.38 : 312,655.88 = 312,655.88 : x
  2. Step 2: Convert to fraction form
    145,203.38/312,655.88 = 312,655.88/x
  3. Step 3: Cross multiply
    145,203.38x = 312,655.88 × 312,655.88
  4. Step 4: Simplify right side
    145,203.38x = 97,753,696,172.02
  5. Step 5: Solve for x
    x = 97,753,696,172.02/145,203.38
  6. Step 6: Final answer
    x = 673,219.17

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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.