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Finding the Third Proportional to 310,622.34 and 641,064.38

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Solution

The third proportional to 310,622.34 and 641,064.38 is: 1,323,032.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,622.34 : 641,064.38 = 641,064.38 : x
  2. Step 2: Convert to fraction form
    310,622.34/641,064.38 = 641,064.38/x
  3. Step 3: Cross multiply
    310,622.34x = 641,064.38 × 641,064.38
  4. Step 4: Simplify right side
    310,622.34x = 410,963,532,894.14
  5. Step 5: Solve for x
    x = 410,963,532,894.14/310,622.34
  6. Step 6: Final answer
    x = 1,323,032.75

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.