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Finding the Third Proportional to 214,690 and 291,570

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Solution

The third proportional to 214,690 and 291,570 is: 395,980.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,690 : 291,570 = 291,570 : x
  2. Step 2: Convert to fraction form
    214,690/291,570 = 291,570/x
  3. Step 3: Cross multiply
    214,690x = 291,570 × 291,570
  4. Step 4: Simplify right side
    214,690x = 85,013,064,900
  5. Step 5: Solve for x
    x = 85,013,064,900/214,690
  6. Step 6: Final answer
    x = 395,980.55

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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.