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Finding the Third Proportional to 256,264 and 390,716

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Solution

The third proportional to 256,264 and 390,716 is: 595,709.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,264 : 390,716 = 390,716 : x
  2. Step 2: Convert to fraction form
    256,264/390,716 = 390,716/x
  3. Step 3: Cross multiply
    256,264x = 390,716 × 390,716
  4. Step 4: Simplify right side
    256,264x = 152,658,992,656
  5. Step 5: Solve for x
    x = 152,658,992,656/256,264
  6. Step 6: Final answer
    x = 595,709.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.