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Finding the Third Proportional to 310,927.50 and 687,195

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Solution

The third proportional to 310,927.50 and 687,195 is: 1,518,800.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,927.50 : 687,195 = 687,195 : x
  2. Step 2: Convert to fraction form
    310,927.50/687,195 = 687,195/x
  3. Step 3: Cross multiply
    310,927.50x = 687,195 × 687,195
  4. Step 4: Simplify right side
    310,927.50x = 472,236,968,025
  5. Step 5: Solve for x
    x = 472,236,968,025/310,927.50
  6. Step 6: Final answer
    x = 1,518,800.90

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.