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Finding the Third Proportional to 509,748 and 712,966

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Solution

The third proportional to 509,748 and 712,966 is: 997,199.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,748 : 712,966 = 712,966 : x
  2. Step 2: Convert to fraction form
    509,748/712,966 = 712,966/x
  3. Step 3: Cross multiply
    509,748x = 712,966 × 712,966
  4. Step 4: Simplify right side
    509,748x = 508,320,517,156
  5. Step 5: Solve for x
    x = 508,320,517,156/509,748
  6. Step 6: Final answer
    x = 997,199.63

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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.