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Finding the Third Proportional to 76,133 and 102,702

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Solution

The third proportional to 76,133 and 102,702 is: 138,543.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,133 : 102,702 = 102,702 : x
  2. Step 2: Convert to fraction form
    76,133/102,702 = 102,702/x
  3. Step 3: Cross multiply
    76,133x = 102,702 × 102,702
  4. Step 4: Simplify right side
    76,133x = 10,547,700,804
  5. Step 5: Solve for x
    x = 10,547,700,804/76,133
  6. Step 6: Final answer
    x = 138,543.09

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.