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Finding the Third Proportional to 187,985.81 and 291,222.84

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Solution

The third proportional to 187,985.81 and 291,222.84 is: 451,155.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,985.81 : 291,222.84 = 291,222.84 : x
  2. Step 2: Convert to fraction form
    187,985.81/291,222.84 = 291,222.84/x
  3. Step 3: Cross multiply
    187,985.81x = 291,222.84 × 291,222.84
  4. Step 4: Simplify right side
    187,985.81x = 84,810,744,721.84
  5. Step 5: Solve for x
    x = 84,810,744,721.84/187,985.81
  6. Step 6: Final answer
    x = 451,155.03

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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.