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Finding the Third Proportional to 678,213 and 934,269.19

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Solution

The third proportional to 678,213 and 934,269.19 is: 1,286,998.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,213 : 934,269.19 = 934,269.19 : x
  2. Step 2: Convert to fraction form
    678,213/934,269.19 = 934,269.19/x
  3. Step 3: Cross multiply
    678,213x = 934,269.19 × 934,269.19
  4. Step 4: Simplify right side
    678,213x = 872,858,914,711.91
  5. Step 5: Solve for x
    x = 872,858,914,711.91/678,213
  6. Step 6: Final answer
    x = 1,286,998.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.