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Finding the Third Proportional to 218,862 and 470,416.50

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Solution

The third proportional to 218,862 and 470,416.50 is: 1,011,101.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,862 : 470,416.50 = 470,416.50 : x
  2. Step 2: Convert to fraction form
    218,862/470,416.50 = 470,416.50/x
  3. Step 3: Cross multiply
    218,862x = 470,416.50 × 470,416.50
  4. Step 4: Simplify right side
    218,862x = 221,291,683,472.25
  5. Step 5: Solve for x
    x = 221,291,683,472.25/218,862
  6. Step 6: Final answer
    x = 1,011,101.44

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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.