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Finding the Third Proportional to 407,489.06 and 890,703

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Solution

The third proportional to 407,489.06 and 890,703 is: 1,946,927.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,489.06 : 890,703 = 890,703 : x
  2. Step 2: Convert to fraction form
    407,489.06/890,703 = 890,703/x
  3. Step 3: Cross multiply
    407,489.06x = 890,703 × 890,703
  4. Step 4: Simplify right side
    407,489.06x = 793,351,834,209
  5. Step 5: Solve for x
    x = 793,351,834,209/407,489.06
  6. Step 6: Final answer
    x = 1,946,927.92

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Why These Related Problems?

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