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Finding the Third Proportional to 176,987 and 385,078

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Solution

The third proportional to 176,987 and 385,078 is: 837,830.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,987 : 385,078 = 385,078 : x
  2. Step 2: Convert to fraction form
    176,987/385,078 = 385,078/x
  3. Step 3: Cross multiply
    176,987x = 385,078 × 385,078
  4. Step 4: Simplify right side
    176,987x = 148,285,066,084
  5. Step 5: Solve for x
    x = 148,285,066,084/176,987
  6. Step 6: Final answer
    x = 837,830.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.