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Finding the Third Proportional to 385,869 and 550,426

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Solution

The third proportional to 385,869 and 550,426 is: 785,159.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,869 : 550,426 = 550,426 : x
  2. Step 2: Convert to fraction form
    385,869/550,426 = 550,426/x
  3. Step 3: Cross multiply
    385,869x = 550,426 × 550,426
  4. Step 4: Simplify right side
    385,869x = 302,968,781,476
  5. Step 5: Solve for x
    x = 302,968,781,476/385,869
  6. Step 6: Final answer
    x = 785,159.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.