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Finding the Third Proportional to 68,527 and 78,368.50

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Solution

The third proportional to 68,527 and 78,368.50 is: 89,623.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,527 : 78,368.50 = 78,368.50 : x
  2. Step 2: Convert to fraction form
    68,527/78,368.50 = 78,368.50/x
  3. Step 3: Cross multiply
    68,527x = 78,368.50 × 78,368.50
  4. Step 4: Simplify right side
    68,527x = 6,141,621,792.25
  5. Step 5: Solve for x
    x = 6,141,621,792.25/68,527
  6. Step 6: Final answer
    x = 89,623.39

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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.