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Finding the Third Proportional to 256,467 and 402,306

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Solution

The third proportional to 256,467 and 402,306 is: 631,075.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,467 : 402,306 = 402,306 : x
  2. Step 2: Convert to fraction form
    256,467/402,306 = 402,306/x
  3. Step 3: Cross multiply
    256,467x = 402,306 × 402,306
  4. Step 4: Simplify right side
    256,467x = 161,850,117,636
  5. Step 5: Solve for x
    x = 161,850,117,636/256,467
  6. Step 6: Final answer
    x = 631,075.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.