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Finding the Third Proportional to 261,319.50 and 368,006.63

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Solution

The third proportional to 261,319.50 and 368,006.63 is: 518,250.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,319.50 : 368,006.63 = 368,006.63 : x
  2. Step 2: Convert to fraction form
    261,319.50/368,006.63 = 368,006.63/x
  3. Step 3: Cross multiply
    261,319.50x = 368,006.63 × 368,006.63
  4. Step 4: Simplify right side
    261,319.50x = 135,428,876,043.89
  5. Step 5: Solve for x
    x = 135,428,876,043.89/261,319.50
  6. Step 6: Final answer
    x = 518,250.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.