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Finding the Third Proportional to 312,033 and 470,839.50

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Solution

The third proportional to 312,033 and 470,839.50 is: 710,469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,033 : 470,839.50 = 470,839.50 : x
  2. Step 2: Convert to fraction form
    312,033/470,839.50 = 470,839.50/x
  3. Step 3: Cross multiply
    312,033x = 470,839.50 × 470,839.50
  4. Step 4: Simplify right side
    312,033x = 221,689,834,760.25
  5. Step 5: Solve for x
    x = 221,689,834,760.25/312,033
  6. Step 6: Final answer
    x = 710,469.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.