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Finding the Third Proportional to 243,135 and 523,719

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Solution

The third proportional to 243,135 and 523,719 is: 1,128,104.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,135 : 523,719 = 523,719 : x
  2. Step 2: Convert to fraction form
    243,135/523,719 = 523,719/x
  3. Step 3: Cross multiply
    243,135x = 523,719 × 523,719
  4. Step 4: Simplify right side
    243,135x = 274,281,590,961
  5. Step 5: Solve for x
    x = 274,281,590,961/243,135
  6. Step 6: Final answer
    x = 1,128,104.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.