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Finding the Third Proportional to 245,087 and 385,127

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Solution

The third proportional to 245,087 and 385,127 is: 605,184.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,087 : 385,127 = 385,127 : x
  2. Step 2: Convert to fraction form
    245,087/385,127 = 385,127/x
  3. Step 3: Cross multiply
    245,087x = 385,127 × 385,127
  4. Step 4: Simplify right side
    245,087x = 148,322,806,129
  5. Step 5: Solve for x
    x = 148,322,806,129/245,087
  6. Step 6: Final answer
    x = 605,184.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.