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Finding the Third Proportional to 243,000 and 530,217.56

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Solution

The third proportional to 243,000 and 530,217.56 is: 1,156,916.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,000 : 530,217.56 = 530,217.56 : x
  2. Step 2: Convert to fraction form
    243,000/530,217.56 = 530,217.56/x
  3. Step 3: Cross multiply
    243,000x = 530,217.56 × 530,217.56
  4. Step 4: Simplify right side
    243,000x = 281,130,663,583.44
  5. Step 5: Solve for x
    x = 281,130,663,583.44/243,000
  6. Step 6: Final answer
    x = 1,156,916.31

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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.