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Finding the Third Proportional to 256,127 and 375,887

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Solution

The third proportional to 256,127 and 375,887 is: 551,644.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,127 : 375,887 = 375,887 : x
  2. Step 2: Convert to fraction form
    256,127/375,887 = 375,887/x
  3. Step 3: Cross multiply
    256,127x = 375,887 × 375,887
  4. Step 4: Simplify right side
    256,127x = 141,291,036,769
  5. Step 5: Solve for x
    x = 141,291,036,769/256,127
  6. Step 6: Final answer
    x = 551,644.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.