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Finding the Third Proportional to 698,382 and 910,885.50

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Solution

The third proportional to 698,382 and 910,885.50 is: 1,188,049.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,382 : 910,885.50 = 910,885.50 : x
  2. Step 2: Convert to fraction form
    698,382/910,885.50 = 910,885.50/x
  3. Step 3: Cross multiply
    698,382x = 910,885.50 × 910,885.50
  4. Step 4: Simplify right side
    698,382x = 829,712,394,110.25
  5. Step 5: Solve for x
    x = 829,712,394,110.25/698,382
  6. Step 6: Final answer
    x = 1,188,049.51

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.