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Finding the Third Proportional to 136,429.31 and 291,407.63

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Solution

The third proportional to 136,429.31 and 291,407.63 is: 622,435.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,429.31 : 291,407.63 = 291,407.63 : x
  2. Step 2: Convert to fraction form
    136,429.31/291,407.63 = 291,407.63/x
  3. Step 3: Cross multiply
    136,429.31x = 291,407.63 × 291,407.63
  4. Step 4: Simplify right side
    136,429.31x = 84,918,403,908.14
  5. Step 5: Solve for x
    x = 84,918,403,908.14/136,429.31
  6. Step 6: Final answer
    x = 622,435.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.