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Finding the Third Proportional to 310,756 and 652,858

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Solution

The third proportional to 310,756 and 652,858 is: 1,371,569.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,756 : 652,858 = 652,858 : x
  2. Step 2: Convert to fraction form
    310,756/652,858 = 652,858/x
  3. Step 3: Cross multiply
    310,756x = 652,858 × 652,858
  4. Step 4: Simplify right side
    310,756x = 426,223,568,164
  5. Step 5: Solve for x
    x = 426,223,568,164/310,756
  6. Step 6: Final answer
    x = 1,371,569.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.