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Finding the Third Proportional to 288,218.25 and 460,434.38

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Solution

The third proportional to 288,218.25 and 460,434.38 is: 735,553.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,218.25 : 460,434.38 = 460,434.38 : x
  2. Step 2: Convert to fraction form
    288,218.25/460,434.38 = 460,434.38/x
  3. Step 3: Cross multiply
    288,218.25x = 460,434.38 × 460,434.38
  4. Step 4: Simplify right side
    288,218.25x = 211,999,813,681.64
  5. Step 5: Solve for x
    x = 211,999,813,681.64/288,218.25
  6. Step 6: Final answer
    x = 735,553.05

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.