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Finding the Third Proportional to 286,071.75 and 420,238.13

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Solution

The third proportional to 286,071.75 and 420,238.13 is: 617,327.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,071.75 : 420,238.13 = 420,238.13 : x
  2. Step 2: Convert to fraction form
    286,071.75/420,238.13 = 420,238.13/x
  3. Step 3: Cross multiply
    286,071.75x = 420,238.13 × 420,238.13
  4. Step 4: Simplify right side
    286,071.75x = 176,600,081,703.52
  5. Step 5: Solve for x
    x = 176,600,081,703.52/286,071.75
  6. Step 6: Final answer
    x = 617,327.93

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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.