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Finding the Third Proportional to 142,804 and 313,633

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Solution

The third proportional to 142,804 and 313,633 is: 688,815.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,804 : 313,633 = 313,633 : x
  2. Step 2: Convert to fraction form
    142,804/313,633 = 313,633/x
  3. Step 3: Cross multiply
    142,804x = 313,633 × 313,633
  4. Step 4: Simplify right side
    142,804x = 98,365,658,689
  5. Step 5: Solve for x
    x = 98,365,658,689/142,804
  6. Step 6: Final answer
    x = 688,815.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.