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Finding the Third Proportional to 245,708 and 391,164

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Solution

The third proportional to 245,708 and 391,164 is: 622,728.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,708 : 391,164 = 391,164 : x
  2. Step 2: Convert to fraction form
    245,708/391,164 = 391,164/x
  3. Step 3: Cross multiply
    245,708x = 391,164 × 391,164
  4. Step 4: Simplify right side
    245,708x = 153,009,274,896
  5. Step 5: Solve for x
    x = 153,009,274,896/245,708
  6. Step 6: Final answer
    x = 622,728.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.