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Finding the Third Proportional to 399,296.25 and 864,985.50

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Solution

The third proportional to 399,296.25 and 864,985.50 is: 1,873,796.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,296.25 : 864,985.50 = 864,985.50 : x
  2. Step 2: Convert to fraction form
    399,296.25/864,985.50 = 864,985.50/x
  3. Step 3: Cross multiply
    399,296.25x = 864,985.50 × 864,985.50
  4. Step 4: Simplify right side
    399,296.25x = 748,199,915,210.25
  5. Step 5: Solve for x
    x = 748,199,915,210.25/399,296.25
  6. Step 6: Final answer
    x = 1,873,796.50

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Why These Related Problems?

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