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Finding the Third Proportional to 243,420 and 531,126

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Solution

The third proportional to 243,420 and 531,126 is: 1,158,881.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,420 : 531,126 = 531,126 : x
  2. Step 2: Convert to fraction form
    243,420/531,126 = 531,126/x
  3. Step 3: Cross multiply
    243,420x = 531,126 × 531,126
  4. Step 4: Simplify right side
    243,420x = 282,094,827,876
  5. Step 5: Solve for x
    x = 282,094,827,876/243,420
  6. Step 6: Final answer
    x = 1,158,881.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.