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Finding the Third Proportional to 261,875 and 400,420

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Solution

The third proportional to 261,875 and 400,420 is: 612,262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,875 : 400,420 = 400,420 : x
  2. Step 2: Convert to fraction form
    261,875/400,420 = 400,420/x
  3. Step 3: Cross multiply
    261,875x = 400,420 × 400,420
  4. Step 4: Simplify right side
    261,875x = 160,336,176,400
  5. Step 5: Solve for x
    x = 160,336,176,400/261,875
  6. Step 6: Final answer
    x = 612,262.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.