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Finding the Third Proportional to 287,867 and 402,549

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Solution

The third proportional to 287,867 and 402,549 is: 562,918.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,867 : 402,549 = 402,549 : x
  2. Step 2: Convert to fraction form
    287,867/402,549 = 402,549/x
  3. Step 3: Cross multiply
    287,867x = 402,549 × 402,549
  4. Step 4: Simplify right side
    287,867x = 162,045,697,401
  5. Step 5: Solve for x
    x = 162,045,697,401/287,867
  6. Step 6: Final answer
    x = 562,918.63

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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.