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Finding the Third Proportional to 209,117 and 324,260

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Solution

The third proportional to 209,117 and 324,260 is: 502,802.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,117 : 324,260 = 324,260 : x
  2. Step 2: Convert to fraction form
    209,117/324,260 = 324,260/x
  3. Step 3: Cross multiply
    209,117x = 324,260 × 324,260
  4. Step 4: Simplify right side
    209,117x = 105,144,547,600
  5. Step 5: Solve for x
    x = 105,144,547,600/209,117
  6. Step 6: Final answer
    x = 502,802.49

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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.