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Finding the Third Proportional to 218,234 and 470,895.50

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Solution

The third proportional to 218,234 and 470,895.50 is: 1,016,077.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,234 : 470,895.50 = 470,895.50 : x
  2. Step 2: Convert to fraction form
    218,234/470,895.50 = 470,895.50/x
  3. Step 3: Cross multiply
    218,234x = 470,895.50 × 470,895.50
  4. Step 4: Simplify right side
    218,234x = 221,742,571,920.25
  5. Step 5: Solve for x
    x = 221,742,571,920.25/218,234
  6. Step 6: Final answer
    x = 1,016,077.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.