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Finding the Third Proportional to 214,689.56 and 291,569.06

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Solution

The third proportional to 214,689.56 and 291,569.06 is: 395,978.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,689.56 : 291,569.06 = 291,569.06 : x
  2. Step 2: Convert to fraction form
    214,689.56/291,569.06 = 291,569.06/x
  3. Step 3: Cross multiply
    214,689.56x = 291,569.06 × 291,569.06
  4. Step 4: Simplify right side
    214,689.56x = 85,012,518,207.13
  5. Step 5: Solve for x
    x = 85,012,518,207.13/214,689.56
  6. Step 6: Final answer
    x = 395,978.81

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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.