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Finding the Third Proportional to 68,139 and 97,537.50

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Solution

The third proportional to 68,139 and 97,537.50 is: 139,619.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,139 : 97,537.50 = 97,537.50 : x
  2. Step 2: Convert to fraction form
    68,139/97,537.50 = 97,537.50/x
  3. Step 3: Cross multiply
    68,139x = 97,537.50 × 97,537.50
  4. Step 4: Simplify right side
    68,139x = 9,513,563,906.25
  5. Step 5: Solve for x
    x = 9,513,563,906.25/68,139
  6. Step 6: Final answer
    x = 139,619.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.