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Finding the Third Proportional to 70,574 and 100,316

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Solution

The third proportional to 70,574 and 100,316 is: 142,592.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,574 : 100,316 = 100,316 : x
  2. Step 2: Convert to fraction form
    70,574/100,316 = 100,316/x
  3. Step 3: Cross multiply
    70,574x = 100,316 × 100,316
  4. Step 4: Simplify right side
    70,574x = 10,063,299,856
  5. Step 5: Solve for x
    x = 10,063,299,856/70,574
  6. Step 6: Final answer
    x = 142,592.17

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.