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Finding the Third Proportional to 176,502 and 280,490

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Solution

The third proportional to 176,502 and 280,490 is: 445,743.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,502 : 280,490 = 280,490 : x
  2. Step 2: Convert to fraction form
    176,502/280,490 = 280,490/x
  3. Step 3: Cross multiply
    176,502x = 280,490 × 280,490
  4. Step 4: Simplify right side
    176,502x = 78,674,640,100
  5. Step 5: Solve for x
    x = 78,674,640,100/176,502
  6. Step 6: Final answer
    x = 445,743.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.