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Finding the Third Proportional to 245,778 and 368,859

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Solution

The third proportional to 245,778 and 368,859 is: 553,576.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,778 : 368,859 = 368,859 : x
  2. Step 2: Convert to fraction form
    245,778/368,859 = 368,859/x
  3. Step 3: Cross multiply
    245,778x = 368,859 × 368,859
  4. Step 4: Simplify right side
    245,778x = 136,056,961,881
  5. Step 5: Solve for x
    x = 136,056,961,881/245,778
  6. Step 6: Final answer
    x = 553,576.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.