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Finding the Third Proportional to 366,344 and 780,688

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Solution

The third proportional to 366,344 and 780,688 is: 1,663,665.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,344 : 780,688 = 780,688 : x
  2. Step 2: Convert to fraction form
    366,344/780,688 = 780,688/x
  3. Step 3: Cross multiply
    366,344x = 780,688 × 780,688
  4. Step 4: Simplify right side
    366,344x = 609,473,753,344
  5. Step 5: Solve for x
    x = 609,473,753,344/366,344
  6. Step 6: Final answer
    x = 1,663,665.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.