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Finding the Third Proportional to 256,119 and 370,018

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Solution

The third proportional to 256,119 and 370,018 is: 534,569.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,119 : 370,018 = 370,018 : x
  2. Step 2: Convert to fraction form
    256,119/370,018 = 370,018/x
  3. Step 3: Cross multiply
    256,119x = 370,018 × 370,018
  4. Step 4: Simplify right side
    256,119x = 136,913,320,324
  5. Step 5: Solve for x
    x = 136,913,320,324/256,119
  6. Step 6: Final answer
    x = 534,569.17

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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.