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Finding the Third Proportional to 143,385.19 and 210,917.36

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Solution

The third proportional to 143,385.19 and 210,917.36 is: 310,256.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,385.19 : 210,917.36 = 210,917.36 : x
  2. Step 2: Convert to fraction form
    143,385.19/210,917.36 = 210,917.36/x
  3. Step 3: Cross multiply
    143,385.19x = 210,917.36 × 210,917.36
  4. Step 4: Simplify right side
    143,385.19x = 44,486,130,837.93
  5. Step 5: Solve for x
    x = 44,486,130,837.93/143,385.19
  6. Step 6: Final answer
    x = 310,256.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.