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Finding the Third Proportional to 387,693 and 847,395

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Solution

The third proportional to 387,693 and 847,395 is: 1,852,182.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,693 : 847,395 = 847,395 : x
  2. Step 2: Convert to fraction form
    387,693/847,395 = 847,395/x
  3. Step 3: Cross multiply
    387,693x = 847,395 × 847,395
  4. Step 4: Simplify right side
    387,693x = 718,078,286,025
  5. Step 5: Solve for x
    x = 718,078,286,025/387,693
  6. Step 6: Final answer
    x = 1,852,182.75

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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.