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Finding the Third Proportional to 72,717 and 106,681.50

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Solution

The third proportional to 72,717 and 106,681.50 is: 156,510.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,717 : 106,681.50 = 106,681.50 : x
  2. Step 2: Convert to fraction form
    72,717/106,681.50 = 106,681.50/x
  3. Step 3: Cross multiply
    72,717x = 106,681.50 × 106,681.50
  4. Step 4: Simplify right side
    72,717x = 11,380,942,442.25
  5. Step 5: Solve for x
    x = 11,380,942,442.25/72,717
  6. Step 6: Final answer
    x = 156,510.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.