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Finding the Third Proportional to 68,718.38 and 78,681.38

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Solution

The third proportional to 68,718.38 and 78,681.38 is: 90,088.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,718.38 : 78,681.38 = 78,681.38 : x
  2. Step 2: Convert to fraction form
    68,718.38/78,681.38 = 78,681.38/x
  3. Step 3: Cross multiply
    68,718.38x = 78,681.38 × 78,681.38
  4. Step 4: Simplify right side
    68,718.38x = 6,190,758,771.89
  5. Step 5: Solve for x
    x = 6,190,758,771.89/68,718.38
  6. Step 6: Final answer
    x = 90,088.84

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.