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Finding the Third Proportional to 210,911 and 460,402

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Solution

The third proportional to 210,911 and 460,402 is: 1,005,021.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,911 : 460,402 = 460,402 : x
  2. Step 2: Convert to fraction form
    210,911/460,402 = 460,402/x
  3. Step 3: Cross multiply
    210,911x = 460,402 × 460,402
  4. Step 4: Simplify right side
    210,911x = 211,970,001,604
  5. Step 5: Solve for x
    x = 211,970,001,604/210,911
  6. Step 6: Final answer
    x = 1,005,021.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.