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Finding the Third Proportional to 218,868 and 470,432

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Solution

The third proportional to 218,868 and 470,432 is: 1,011,140.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,868 : 470,432 = 470,432 : x
  2. Step 2: Convert to fraction form
    218,868/470,432 = 470,432/x
  3. Step 3: Cross multiply
    218,868x = 470,432 × 470,432
  4. Step 4: Simplify right side
    218,868x = 221,306,266,624
  5. Step 5: Solve for x
    x = 221,306,266,624/218,868
  6. Step 6: Final answer
    x = 1,011,140.35

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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.