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Finding the Third Proportional to 691,380 and 1,046,729

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Solution

The third proportional to 691,380 and 1,046,729 is: 1,584,716.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,380 : 1,046,729 = 1,046,729 : x
  2. Step 2: Convert to fraction form
    691,380/1,046,729 = 1,046,729/x
  3. Step 3: Cross multiply
    691,380x = 1,046,729 × 1,046,729
  4. Step 4: Simplify right side
    691,380x = 1,095,641,599,441
  5. Step 5: Solve for x
    x = 1,095,641,599,441/691,380
  6. Step 6: Final answer
    x = 1,584,716.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.