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Finding the Third Proportional to 321,462 and 698,287.50

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Solution

The third proportional to 321,462 and 698,287.50 is: 1,516,836.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,462 : 698,287.50 = 698,287.50 : x
  2. Step 2: Convert to fraction form
    321,462/698,287.50 = 698,287.50/x
  3. Step 3: Cross multiply
    321,462x = 698,287.50 × 698,287.50
  4. Step 4: Simplify right side
    321,462x = 487,605,432,656.25
  5. Step 5: Solve for x
    x = 487,605,432,656.25/321,462
  6. Step 6: Final answer
    x = 1,516,836.93

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.