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Finding the Third Proportional to 70,089 and 149,353.50

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Solution

The third proportional to 70,089 and 149,353.50 is: 318,259.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,089 : 149,353.50 = 149,353.50 : x
  2. Step 2: Convert to fraction form
    70,089/149,353.50 = 149,353.50/x
  3. Step 3: Cross multiply
    70,089x = 149,353.50 × 149,353.50
  4. Step 4: Simplify right side
    70,089x = 22,306,467,962.25
  5. Step 5: Solve for x
    x = 22,306,467,962.25/70,089
  6. Step 6: Final answer
    x = 318,259.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.