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Finding the Third Proportional to 191,320 and 417,087

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Solution

The third proportional to 191,320 and 417,087 is: 909,270.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,320 : 417,087 = 417,087 : x
  2. Step 2: Convert to fraction form
    191,320/417,087 = 417,087/x
  3. Step 3: Cross multiply
    191,320x = 417,087 × 417,087
  4. Step 4: Simplify right side
    191,320x = 173,961,565,569
  5. Step 5: Solve for x
    x = 173,961,565,569/191,320
  6. Step 6: Final answer
    x = 909,270.15

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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.