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Finding the Third Proportional to 183,695.77 and 278,312.20

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Solution

The third proportional to 183,695.77 and 278,312.20 is: 421,662.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,695.77 : 278,312.20 = 278,312.20 : x
  2. Step 2: Convert to fraction form
    183,695.77/278,312.20 = 278,312.20/x
  3. Step 3: Cross multiply
    183,695.77x = 278,312.20 × 278,312.20
  4. Step 4: Simplify right side
    183,695.77x = 77,457,682,408.29
  5. Step 5: Solve for x
    x = 77,457,682,408.29/183,695.77
  6. Step 6: Final answer
    x = 421,662.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.