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Finding the Third Proportional to 255,703.50 and 391,341.38

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Solution

The third proportional to 255,703.50 and 391,341.38 is: 598,928.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,703.50 : 391,341.38 = 391,341.38 : x
  2. Step 2: Convert to fraction form
    255,703.50/391,341.38 = 391,341.38/x
  3. Step 3: Cross multiply
    255,703.50x = 391,341.38 × 391,341.38
  4. Step 4: Simplify right side
    255,703.50x = 153,148,071,786.89
  5. Step 5: Solve for x
    x = 153,148,071,786.89/255,703.50
  6. Step 6: Final answer
    x = 598,928.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.