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Finding the Third Proportional to 142,792.88 and 310,166.72

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Solution

The third proportional to 142,792.88 and 310,166.72 is: 673,726.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,792.88 : 310,166.72 = 310,166.72 : x
  2. Step 2: Convert to fraction form
    142,792.88/310,166.72 = 310,166.72/x
  3. Step 3: Cross multiply
    142,792.88x = 310,166.72 × 310,166.72
  4. Step 4: Simplify right side
    142,792.88x = 96,203,393,420.14
  5. Step 5: Solve for x
    x = 96,203,393,420.14/142,792.88
  6. Step 6: Final answer
    x = 673,726.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.