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Finding the Third Proportional to 67,890.38 and 102,929.06

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Solution

The third proportional to 67,890.38 and 102,929.06 is: 156,051.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,890.38 : 102,929.06 = 102,929.06 : x
  2. Step 2: Convert to fraction form
    67,890.38/102,929.06 = 102,929.06/x
  3. Step 3: Cross multiply
    67,890.38x = 102,929.06 × 102,929.06
  4. Step 4: Simplify right side
    67,890.38x = 10,594,391,907.13
  5. Step 5: Solve for x
    x = 10,594,391,907.13/67,890.38
  6. Step 6: Final answer
    x = 156,051.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.