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Finding the Third Proportional to 142,051.50 and 313,623

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Solution

The third proportional to 142,051.50 and 313,623 is: 692,420.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,051.50 : 313,623 = 313,623 : x
  2. Step 2: Convert to fraction form
    142,051.50/313,623 = 313,623/x
  3. Step 3: Cross multiply
    142,051.50x = 313,623 × 313,623
  4. Step 4: Simplify right side
    142,051.50x = 98,359,386,129
  5. Step 5: Solve for x
    x = 98,359,386,129/142,051.50
  6. Step 6: Final answer
    x = 692,420.61

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.