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Finding the Third Proportional to 412,204.50 and 904,113

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Solution

The third proportional to 412,204.50 and 904,113 is: 1,983,045.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,204.50 : 904,113 = 904,113 : x
  2. Step 2: Convert to fraction form
    412,204.50/904,113 = 904,113/x
  3. Step 3: Cross multiply
    412,204.50x = 904,113 × 904,113
  4. Step 4: Simplify right side
    412,204.50x = 817,420,316,769
  5. Step 5: Solve for x
    x = 817,420,316,769/412,204.50
  6. Step 6: Final answer
    x = 1,983,045.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.