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Finding the Third Proportional to 255,742.31 and 387,167.34

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Solution

The third proportional to 255,742.31 and 387,167.34 is: 586,131.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,742.31 : 387,167.34 = 387,167.34 : x
  2. Step 2: Convert to fraction form
    255,742.31/387,167.34 = 387,167.34/x
  3. Step 3: Cross multiply
    255,742.31x = 387,167.34 × 387,167.34
  4. Step 4: Simplify right side
    255,742.31x = 149,898,552,066.43
  5. Step 5: Solve for x
    x = 149,898,552,066.43/255,742.31
  6. Step 6: Final answer
    x = 586,131.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.