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Finding the Third Proportional to 515,269 and 711,991.50

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Solution

The third proportional to 515,269 and 711,991.50 is: 983,819.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,269 : 711,991.50 = 711,991.50 : x
  2. Step 2: Convert to fraction form
    515,269/711,991.50 = 711,991.50/x
  3. Step 3: Cross multiply
    515,269x = 711,991.50 × 711,991.50
  4. Step 4: Simplify right side
    515,269x = 506,931,896,072.25
  5. Step 5: Solve for x
    x = 506,931,896,072.25/515,269
  6. Step 6: Final answer
    x = 983,819.90

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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.