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Finding the Third Proportional to 30,787 and 67,360

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Solution

The third proportional to 30,787 and 67,360 is: 147,379.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,787 : 67,360 = 67,360 : x
  2. Step 2: Convert to fraction form
    30,787/67,360 = 67,360/x
  3. Step 3: Cross multiply
    30,787x = 67,360 × 67,360
  4. Step 4: Simplify right side
    30,787x = 4,537,369,600
  5. Step 5: Solve for x
    x = 4,537,369,600/30,787
  6. Step 6: Final answer
    x = 147,379.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.