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Finding the Third Proportional to 70,378 and 100,565

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Solution

The third proportional to 70,378 and 100,565 is: 143,700.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,378 : 100,565 = 100,565 : x
  2. Step 2: Convert to fraction form
    70,378/100,565 = 100,565/x
  3. Step 3: Cross multiply
    70,378x = 100,565 × 100,565
  4. Step 4: Simplify right side
    70,378x = 10,113,319,225
  5. Step 5: Solve for x
    x = 10,113,319,225/70,378
  6. Step 6: Final answer
    x = 143,700.01

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Why These Related Problems?

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