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Finding the Third Proportional to 256,058 and 368,862

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Solution

The third proportional to 256,058 and 368,862 is: 531,360.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,058 : 368,862 = 368,862 : x
  2. Step 2: Convert to fraction form
    256,058/368,862 = 368,862/x
  3. Step 3: Cross multiply
    256,058x = 368,862 × 368,862
  4. Step 4: Simplify right side
    256,058x = 136,059,175,044
  5. Step 5: Solve for x
    x = 136,059,175,044/256,058
  6. Step 6: Final answer
    x = 531,360.77

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.