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Finding the Third Proportional to 207,712 and 312,960

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Solution

The third proportional to 207,712 and 312,960 is: 471,537.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,712 : 312,960 = 312,960 : x
  2. Step 2: Convert to fraction form
    207,712/312,960 = 312,960/x
  3. Step 3: Cross multiply
    207,712x = 312,960 × 312,960
  4. Step 4: Simplify right side
    207,712x = 97,943,961,600
  5. Step 5: Solve for x
    x = 97,943,961,600/207,712
  6. Step 6: Final answer
    x = 471,537.33

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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.