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Finding the Third Proportional to 70,410 and 106,213.50

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Solution

The third proportional to 70,410 and 106,213.50 is: 160,223.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,410 : 106,213.50 = 106,213.50 : x
  2. Step 2: Convert to fraction form
    70,410/106,213.50 = 106,213.50/x
  3. Step 3: Cross multiply
    70,410x = 106,213.50 × 106,213.50
  4. Step 4: Simplify right side
    70,410x = 11,281,307,582.25
  5. Step 5: Solve for x
    x = 11,281,307,582.25/70,410
  6. Step 6: Final answer
    x = 160,223.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.