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Finding the Third Proportional to 509,750 and 712,969

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Solution

The third proportional to 509,750 and 712,969 is: 997,204.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,750 : 712,969 = 712,969 : x
  2. Step 2: Convert to fraction form
    509,750/712,969 = 712,969/x
  3. Step 3: Cross multiply
    509,750x = 712,969 × 712,969
  4. Step 4: Simplify right side
    509,750x = 508,324,794,961
  5. Step 5: Solve for x
    x = 508,324,794,961/509,750
  6. Step 6: Final answer
    x = 997,204.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.