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Finding the Third Proportional to 287,869 and 402,552

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Solution

The third proportional to 287,869 and 402,552 is: 562,923.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,869 : 402,552 = 402,552 : x
  2. Step 2: Convert to fraction form
    287,869/402,552 = 402,552/x
  3. Step 3: Cross multiply
    287,869x = 402,552 × 402,552
  4. Step 4: Simplify right side
    287,869x = 162,048,112,704
  5. Step 5: Solve for x
    x = 162,048,112,704/287,869
  6. Step 6: Final answer
    x = 562,923.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.