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Finding the Third Proportional to 691,275 and 1,437,729

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Solution

The third proportional to 691,275 and 1,437,729 is: 2,990,220.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,275 : 1,437,729 = 1,437,729 : x
  2. Step 2: Convert to fraction form
    691,275/1,437,729 = 1,437,729/x
  3. Step 3: Cross multiply
    691,275x = 1,437,729 × 1,437,729
  4. Step 4: Simplify right side
    691,275x = 2,067,064,677,441
  5. Step 5: Solve for x
    x = 2,067,064,677,441/691,275
  6. Step 6: Final answer
    x = 2,990,220.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.