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Finding the Third Proportional to 387,468 and 834,309

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Solution

The third proportional to 387,468 and 834,309 is: 1,796,461.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,468 : 834,309 = 834,309 : x
  2. Step 2: Convert to fraction form
    387,468/834,309 = 834,309/x
  3. Step 3: Cross multiply
    387,468x = 834,309 × 834,309
  4. Step 4: Simplify right side
    387,468x = 696,071,507,481
  5. Step 5: Solve for x
    x = 696,071,507,481/387,468
  6. Step 6: Final answer
    x = 1,796,461.92

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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.