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Finding the Third Proportional to 243,477 and 531,240

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Solution

The third proportional to 243,477 and 531,240 is: 1,159,107.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,477 : 531,240 = 531,240 : x
  2. Step 2: Convert to fraction form
    243,477/531,240 = 531,240/x
  3. Step 3: Cross multiply
    243,477x = 531,240 × 531,240
  4. Step 4: Simplify right side
    243,477x = 282,215,937,600
  5. Step 5: Solve for x
    x = 282,215,937,600/243,477
  6. Step 6: Final answer
    x = 1,159,107.17

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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.