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Finding the Third Proportional to 387,090 and 836,460

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Solution

The third proportional to 387,090 and 836,460 is: 1,807,500.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,090 : 836,460 = 836,460 : x
  2. Step 2: Convert to fraction form
    387,090/836,460 = 836,460/x
  3. Step 3: Cross multiply
    387,090x = 836,460 × 836,460
  4. Step 4: Simplify right side
    387,090x = 699,665,331,600
  5. Step 5: Solve for x
    x = 699,665,331,600/387,090
  6. Step 6: Final answer
    x = 1,807,500.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.