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Finding the Third Proportional to 261,315 and 395,580

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Solution

The third proportional to 261,315 and 395,580 is: 598,831.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,315 : 395,580 = 395,580 : x
  2. Step 2: Convert to fraction form
    261,315/395,580 = 395,580/x
  3. Step 3: Cross multiply
    261,315x = 395,580 × 395,580
  4. Step 4: Simplify right side
    261,315x = 156,483,536,400
  5. Step 5: Solve for x
    x = 156,483,536,400/261,315
  6. Step 6: Final answer
    x = 598,831.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.