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Finding the Third Proportional to 73,415 and 155,416

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Solution

The third proportional to 73,415 and 155,416 is: 329,008.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,415 : 155,416 = 155,416 : x
  2. Step 2: Convert to fraction form
    73,415/155,416 = 155,416/x
  3. Step 3: Cross multiply
    73,415x = 155,416 × 155,416
  4. Step 4: Simplify right side
    73,415x = 24,154,133,056
  5. Step 5: Solve for x
    x = 24,154,133,056/73,415
  6. Step 6: Final answer
    x = 329,008.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.