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Finding the Third Proportional to 256,262 and 390,710

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Solution

The third proportional to 256,262 and 390,710 is: 595,696.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,262 : 390,710 = 390,710 : x
  2. Step 2: Convert to fraction form
    256,262/390,710 = 390,710/x
  3. Step 3: Cross multiply
    256,262x = 390,710 × 390,710
  4. Step 4: Simplify right side
    256,262x = 152,654,304,100
  5. Step 5: Solve for x
    x = 152,654,304,100/256,262
  6. Step 6: Final answer
    x = 595,696.22

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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.