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Finding the Third Proportional to 312,934.50 and 470,857.50

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Solution

The third proportional to 312,934.50 and 470,857.50 is: 708,476.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,934.50 : 470,857.50 = 470,857.50 : x
  2. Step 2: Convert to fraction form
    312,934.50/470,857.50 = 470,857.50/x
  3. Step 3: Cross multiply
    312,934.50x = 470,857.50 × 470,857.50
  4. Step 4: Simplify right side
    312,934.50x = 221,706,785,306.25
  5. Step 5: Solve for x
    x = 221,706,785,306.25/312,934.50
  6. Step 6: Final answer
    x = 708,476.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.