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Finding the Third Proportional to 515,274 and 711,996

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Solution

The third proportional to 515,274 and 711,996 is: 983,822.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,274 : 711,996 = 711,996 : x
  2. Step 2: Convert to fraction form
    515,274/711,996 = 711,996/x
  3. Step 3: Cross multiply
    515,274x = 711,996 × 711,996
  4. Step 4: Simplify right side
    515,274x = 506,938,304,016
  5. Step 5: Solve for x
    x = 506,938,304,016/515,274
  6. Step 6: Final answer
    x = 983,822.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.