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Finding the Third Proportional to 73,062 and 97,699.50

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Solution

The third proportional to 73,062 and 97,699.50 is: 130,645.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,062 : 97,699.50 = 97,699.50 : x
  2. Step 2: Convert to fraction form
    73,062/97,699.50 = 97,699.50/x
  3. Step 3: Cross multiply
    73,062x = 97,699.50 × 97,699.50
  4. Step 4: Simplify right side
    73,062x = 9,545,192,300.25
  5. Step 5: Solve for x
    x = 9,545,192,300.25/73,062
  6. Step 6: Final answer
    x = 130,645.10

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.