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Finding the Third Proportional to 387,207 and 833,745

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Solution

The third proportional to 387,207 and 833,745 is: 1,795,243.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,207 : 833,745 = 833,745 : x
  2. Step 2: Convert to fraction form
    387,207/833,745 = 833,745/x
  3. Step 3: Cross multiply
    387,207x = 833,745 × 833,745
  4. Step 4: Simplify right side
    387,207x = 695,130,725,025
  5. Step 5: Solve for x
    x = 695,130,725,025/387,207
  6. Step 6: Final answer
    x = 1,795,243.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.