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Finding the Third Proportional to 509,694 and 712,893

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Solution

The third proportional to 509,694 and 712,893 is: 997,101.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,694 : 712,893 = 712,893 : x
  2. Step 2: Convert to fraction form
    509,694/712,893 = 712,893/x
  3. Step 3: Cross multiply
    509,694x = 712,893 × 712,893
  4. Step 4: Simplify right side
    509,694x = 508,216,429,449
  5. Step 5: Solve for x
    x = 508,216,429,449/509,694
  6. Step 6: Final answer
    x = 997,101.06

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