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Finding the Third Proportional to 310,938 and 687,216

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Solution

The third proportional to 310,938 and 687,216 is: 1,518,842.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,938 : 687,216 = 687,216 : x
  2. Step 2: Convert to fraction form
    310,938/687,216 = 687,216/x
  3. Step 3: Cross multiply
    310,938x = 687,216 × 687,216
  4. Step 4: Simplify right side
    310,938x = 472,265,830,656
  5. Step 5: Solve for x
    x = 472,265,830,656/310,938
  6. Step 6: Final answer
    x = 1,518,842.44

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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.