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Finding the Third Proportional to 399,069 and 598,585.50

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Solution

The third proportional to 399,069 and 598,585.50 is: 897,851.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,069 : 598,585.50 = 598,585.50 : x
  2. Step 2: Convert to fraction form
    399,069/598,585.50 = 598,585.50/x
  3. Step 3: Cross multiply
    399,069x = 598,585.50 × 598,585.50
  4. Step 4: Simplify right side
    399,069x = 358,304,600,810.25
  5. Step 5: Solve for x
    x = 358,304,600,810.25/399,069
  6. Step 6: Final answer
    x = 897,851.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.