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Finding the Third Proportional to 70,215 and 165,751.50

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Solution

The third proportional to 70,215 and 165,751.50 is: 391,277.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,215 : 165,751.50 = 165,751.50 : x
  2. Step 2: Convert to fraction form
    70,215/165,751.50 = 165,751.50/x
  3. Step 3: Cross multiply
    70,215x = 165,751.50 × 165,751.50
  4. Step 4: Simplify right side
    70,215x = 27,473,559,752.25
  5. Step 5: Solve for x
    x = 27,473,559,752.25/70,215
  6. Step 6: Final answer
    x = 391,277.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.