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Finding the Third Proportional to 187,985.81 and 291,223.69

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Solution

The third proportional to 187,985.81 and 291,223.69 is: 451,157.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,985.81 : 291,223.69 = 291,223.69 : x
  2. Step 2: Convert to fraction form
    187,985.81/291,223.69 = 291,223.69/x
  3. Step 3: Cross multiply
    187,985.81x = 291,223.69 × 291,223.69
  4. Step 4: Simplify right side
    187,985.81x = 84,811,236,161.10
  5. Step 5: Solve for x
    x = 84,811,236,161.10/187,985.81
  6. Step 6: Final answer
    x = 451,157.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.