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Finding the Third Proportional to 216,106 and 502,402

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Solution

The third proportional to 216,106 and 502,402 is: 1,167,981.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,106 : 502,402 = 502,402 : x
  2. Step 2: Convert to fraction form
    216,106/502,402 = 502,402/x
  3. Step 3: Cross multiply
    216,106x = 502,402 × 502,402
  4. Step 4: Simplify right side
    216,106x = 252,407,769,604
  5. Step 5: Solve for x
    x = 252,407,769,604/216,106
  6. Step 6: Final answer
    x = 1,167,981.31

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.