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Finding the Third Proportional to 321,056 and 691,781.50

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Solution

The third proportional to 321,056 and 691,781.50 is: 1,490,586.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,056 : 691,781.50 = 691,781.50 : x
  2. Step 2: Convert to fraction form
    321,056/691,781.50 = 691,781.50/x
  3. Step 3: Cross multiply
    321,056x = 691,781.50 × 691,781.50
  4. Step 4: Simplify right side
    321,056x = 478,561,643,742.25
  5. Step 5: Solve for x
    x = 478,561,643,742.25/321,056
  6. Step 6: Final answer
    x = 1,490,586.20

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.