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Finding the Third Proportional to 187,422.19 and 411,319.69

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Solution

The third proportional to 187,422.19 and 411,319.69 is: 902,688.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,422.19 : 411,319.69 = 411,319.69 : x
  2. Step 2: Convert to fraction form
    187,422.19/411,319.69 = 411,319.69/x
  3. Step 3: Cross multiply
    187,422.19x = 411,319.69 × 411,319.69
  4. Step 4: Simplify right side
    187,422.19x = 169,183,885,325.10
  5. Step 5: Solve for x
    x = 169,183,885,325.10/187,422.19
  6. Step 6: Final answer
    x = 902,688.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.