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Finding the Third Proportional to 221,643 and 470,907

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Solution

The third proportional to 221,643 and 470,907 is: 1,000,498.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,643 : 470,907 = 470,907 : x
  2. Step 2: Convert to fraction form
    221,643/470,907 = 470,907/x
  3. Step 3: Cross multiply
    221,643x = 470,907 × 470,907
  4. Step 4: Simplify right side
    221,643x = 221,753,402,649
  5. Step 5: Solve for x
    x = 221,753,402,649/221,643
  6. Step 6: Final answer
    x = 1,000,498.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.