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Finding the Third Proportional to 321,029 and 497,774

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Solution

The third proportional to 321,029 and 497,774 is: 771,827.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,029 : 497,774 = 497,774 : x
  2. Step 2: Convert to fraction form
    321,029/497,774 = 497,774/x
  3. Step 3: Cross multiply
    321,029x = 497,774 × 497,774
  4. Step 4: Simplify right side
    321,029x = 247,778,955,076
  5. Step 5: Solve for x
    x = 247,778,955,076/321,029
  6. Step 6: Final answer
    x = 771,827.33

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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.