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Finding the Third Proportional to 148,117.50 and 211,659

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Solution

The third proportional to 148,117.50 and 211,659 is: 302,459.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,117.50 : 211,659 = 211,659 : x
  2. Step 2: Convert to fraction form
    148,117.50/211,659 = 211,659/x
  3. Step 3: Cross multiply
    148,117.50x = 211,659 × 211,659
  4. Step 4: Simplify right side
    148,117.50x = 44,799,532,281
  5. Step 5: Solve for x
    x = 44,799,532,281/148,117.50
  6. Step 6: Final answer
    x = 302,459.41

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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.