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Finding the Third Proportional to 321,031 and 497,777

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Solution

The third proportional to 321,031 and 497,777 is: 771,831.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,031 : 497,777 = 497,777 : x
  2. Step 2: Convert to fraction form
    321,031/497,777 = 497,777/x
  3. Step 3: Cross multiply
    321,031x = 497,777 × 497,777
  4. Step 4: Simplify right side
    321,031x = 247,781,941,729
  5. Step 5: Solve for x
    x = 247,781,941,729/321,031
  6. Step 6: Final answer
    x = 771,831.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.