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Finding the Third Proportional to 280,156 and 402,729

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Solution

The third proportional to 280,156 and 402,729 is: 578,929.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,156 : 402,729 = 402,729 : x
  2. Step 2: Convert to fraction form
    280,156/402,729 = 402,729/x
  3. Step 3: Cross multiply
    280,156x = 402,729 × 402,729
  4. Step 4: Simplify right side
    280,156x = 162,190,647,441
  5. Step 5: Solve for x
    x = 162,190,647,441/280,156
  6. Step 6: Final answer
    x = 578,929.77

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.