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Finding the Third Proportional to 243,324 and 325,478.25

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Solution

The third proportional to 243,324 and 325,478.25 is: 435,370.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,324 : 325,478.25 = 325,478.25 : x
  2. Step 2: Convert to fraction form
    243,324/325,478.25 = 325,478.25/x
  3. Step 3: Cross multiply
    243,324x = 325,478.25 × 325,478.25
  4. Step 4: Simplify right side
    243,324x = 105,936,091,223.06
  5. Step 5: Solve for x
    x = 105,936,091,223.06/243,324
  6. Step 6: Final answer
    x = 435,370.50

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.