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Finding the Third Proportional to 380,038 and 806,718

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Solution

The third proportional to 380,038 and 806,718 is: 1,712,444.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,038 : 806,718 = 806,718 : x
  2. Step 2: Convert to fraction form
    380,038/806,718 = 806,718/x
  3. Step 3: Cross multiply
    380,038x = 806,718 × 806,718
  4. Step 4: Simplify right side
    380,038x = 650,793,931,524
  5. Step 5: Solve for x
    x = 650,793,931,524/380,038
  6. Step 6: Final answer
    x = 1,712,444.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.