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Finding the Third Proportional to 209,528 and 324,369

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Solution

The third proportional to 209,528 and 324,369 is: 502,153.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,528 : 324,369 = 324,369 : x
  2. Step 2: Convert to fraction form
    209,528/324,369 = 324,369/x
  3. Step 3: Cross multiply
    209,528x = 324,369 × 324,369
  4. Step 4: Simplify right side
    209,528x = 105,215,248,161
  5. Step 5: Solve for x
    x = 105,215,248,161/209,528
  6. Step 6: Final answer
    x = 502,153.64

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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.