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Finding the Third Proportional to 216,853 and 469,907

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Solution

The third proportional to 216,853 and 469,907 is: 1,018,259.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,853 : 469,907 = 469,907 : x
  2. Step 2: Convert to fraction form
    216,853/469,907 = 469,907/x
  3. Step 3: Cross multiply
    216,853x = 469,907 × 469,907
  4. Step 4: Simplify right side
    216,853x = 220,812,588,649
  5. Step 5: Solve for x
    x = 220,812,588,649/216,853
  6. Step 6: Final answer
    x = 1,018,259.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.