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Finding the Third Proportional to 389,218.50 and 842,407.50

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Solution

The third proportional to 389,218.50 and 842,407.50 is: 1,823,269.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,218.50 : 842,407.50 = 842,407.50 : x
  2. Step 2: Convert to fraction form
    389,218.50/842,407.50 = 842,407.50/x
  3. Step 3: Cross multiply
    389,218.50x = 842,407.50 × 842,407.50
  4. Step 4: Simplify right side
    389,218.50x = 709,650,396,056.25
  5. Step 5: Solve for x
    x = 709,650,396,056.25/389,218.50
  6. Step 6: Final answer
    x = 1,823,269.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.