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Finding the Third Proportional to 67,981.50 and 145,801.13

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Solution

The third proportional to 67,981.50 and 145,801.13 is: 312,702.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,981.50 : 145,801.13 = 145,801.13 : x
  2. Step 2: Convert to fraction form
    67,981.50/145,801.13 = 145,801.13/x
  3. Step 3: Cross multiply
    67,981.50x = 145,801.13 × 145,801.13
  4. Step 4: Simplify right side
    67,981.50x = 21,257,968,051.27
  5. Step 5: Solve for x
    x = 21,257,968,051.27/67,981.50
  6. Step 6: Final answer
    x = 312,702.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.