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Finding the Third Proportional to 286,905.80 and 442,702.69

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Solution

The third proportional to 286,905.80 and 442,702.69 is: 683,101.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,905.80 : 442,702.69 = 442,702.69 : x
  2. Step 2: Convert to fraction form
    286,905.80/442,702.69 = 442,702.69/x
  3. Step 3: Cross multiply
    286,905.80x = 442,702.69 × 442,702.69
  4. Step 4: Simplify right side
    286,905.80x = 195,985,669,519.72
  5. Step 5: Solve for x
    x = 195,985,669,519.72/286,905.80
  6. Step 6: Final answer
    x = 683,101.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.