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Finding the Third Proportional to 214,572 and 291,417

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Solution

The third proportional to 214,572 and 291,417 is: 395,782.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,572 : 291,417 = 291,417 : x
  2. Step 2: Convert to fraction form
    214,572/291,417 = 291,417/x
  3. Step 3: Cross multiply
    214,572x = 291,417 × 291,417
  4. Step 4: Simplify right side
    214,572x = 84,923,867,889
  5. Step 5: Solve for x
    x = 84,923,867,889/214,572
  6. Step 6: Final answer
    x = 395,782.62

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.