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Finding the Third Proportional to 221,445.75 and 343,549.50

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Solution

The third proportional to 221,445.75 and 343,549.50 is: 532,980.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,445.75 : 343,549.50 = 343,549.50 : x
  2. Step 2: Convert to fraction form
    221,445.75/343,549.50 = 343,549.50/x
  3. Step 3: Cross multiply
    221,445.75x = 343,549.50 × 343,549.50
  4. Step 4: Simplify right side
    221,445.75x = 118,026,258,950.25
  5. Step 5: Solve for x
    x = 118,026,258,950.25/221,445.75
  6. Step 6: Final answer
    x = 532,980.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.