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Finding the Third Proportional to 266,775 and 390,168

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Solution

The third proportional to 266,775 and 390,168 is: 570,634.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,775 : 390,168 = 390,168 : x
  2. Step 2: Convert to fraction form
    266,775/390,168 = 390,168/x
  3. Step 3: Cross multiply
    266,775x = 390,168 × 390,168
  4. Step 4: Simplify right side
    266,775x = 152,231,068,224
  5. Step 5: Solve for x
    x = 152,231,068,224/266,775
  6. Step 6: Final answer
    x = 570,634.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.