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Finding the Third Proportional to 207,498 and 312,712.50

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Solution

The third proportional to 207,498 and 312,712.50 is: 471,277.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,498 : 312,712.50 = 312,712.50 : x
  2. Step 2: Convert to fraction form
    207,498/312,712.50 = 312,712.50/x
  3. Step 3: Cross multiply
    207,498x = 312,712.50 × 312,712.50
  4. Step 4: Simplify right side
    207,498x = 97,789,107,656.25
  5. Step 5: Solve for x
    x = 97,789,107,656.25/207,498
  6. Step 6: Final answer
    x = 471,277.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.