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Finding the Third Proportional to 143,823.25 and 312,897.63

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Solution

The third proportional to 143,823.25 and 312,897.63 is: 680,730.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,823.25 : 312,897.63 = 312,897.63 : x
  2. Step 2: Convert to fraction form
    143,823.25/312,897.63 = 312,897.63/x
  3. Step 3: Cross multiply
    143,823.25x = 312,897.63 × 312,897.63
  4. Step 4: Simplify right side
    143,823.25x = 97,904,923,730.64
  5. Step 5: Solve for x
    x = 97,904,923,730.64/143,823.25
  6. Step 6: Final answer
    x = 680,730.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.