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Finding the Third Proportional to 218,624 and 470,461

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Solution

The third proportional to 218,624 and 470,461 is: 1,012,393.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,624 : 470,461 = 470,461 : x
  2. Step 2: Convert to fraction form
    218,624/470,461 = 470,461/x
  3. Step 3: Cross multiply
    218,624x = 470,461 × 470,461
  4. Step 4: Simplify right side
    218,624x = 221,333,552,521
  5. Step 5: Solve for x
    x = 221,333,552,521/218,624
  6. Step 6: Final answer
    x = 1,012,393.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.