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Finding the Third Proportional to 70,666.50 and 101,154

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Solution

The third proportional to 70,666.50 and 101,154 is: 144,794.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,666.50 : 101,154 = 101,154 : x
  2. Step 2: Convert to fraction form
    70,666.50/101,154 = 101,154/x
  3. Step 3: Cross multiply
    70,666.50x = 101,154 × 101,154
  4. Step 4: Simplify right side
    70,666.50x = 10,232,131,716
  5. Step 5: Solve for x
    x = 10,232,131,716/70,666.50
  6. Step 6: Final answer
    x = 144,794.66

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