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Finding the Third Proportional to 286,118.25 and 442,328.63

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Solution

The third proportional to 286,118.25 and 442,328.63 is: 683,824.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,118.25 : 442,328.63 = 442,328.63 : x
  2. Step 2: Convert to fraction form
    286,118.25/442,328.63 = 442,328.63/x
  3. Step 3: Cross multiply
    286,118.25x = 442,328.63 × 442,328.63
  4. Step 4: Simplify right side
    286,118.25x = 195,654,612,494.39
  5. Step 5: Solve for x
    x = 195,654,612,494.39/286,118.25
  6. Step 6: Final answer
    x = 683,824.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.