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Finding the Third Proportional to 243,328.50 and 520,281

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Solution

The third proportional to 243,328.50 and 520,281 is: 1,112,456.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,328.50 : 520,281 = 520,281 : x
  2. Step 2: Convert to fraction form
    243,328.50/520,281 = 520,281/x
  3. Step 3: Cross multiply
    243,328.50x = 520,281 × 520,281
  4. Step 4: Simplify right side
    243,328.50x = 270,692,318,961
  5. Step 5: Solve for x
    x = 270,692,318,961/243,328.50
  6. Step 6: Final answer
    x = 1,112,456.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.