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Finding the Third Proportional to 242,998.88 and 530,215.88

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Solution

The third proportional to 242,998.88 and 530,215.88 is: 1,156,914.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,998.88 : 530,215.88 = 530,215.88 : x
  2. Step 2: Convert to fraction form
    242,998.88/530,215.88 = 530,215.88/x
  3. Step 3: Cross multiply
    242,998.88x = 530,215.88 × 530,215.88
  4. Step 4: Simplify right side
    242,998.88x = 281,128,874,102.02
  5. Step 5: Solve for x
    x = 281,128,874,102.02/242,998.88
  6. Step 6: Final answer
    x = 1,156,914.30

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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.