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Finding the Third Proportional to 142,407 and 336,166.13

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Solution

The third proportional to 142,407 and 336,166.13 is: 793,554.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,407 : 336,166.13 = 336,166.13 : x
  2. Step 2: Convert to fraction form
    142,407/336,166.13 = 336,166.13/x
  3. Step 3: Cross multiply
    142,407x = 336,166.13 × 336,166.13
  4. Step 4: Simplify right side
    142,407x = 113,007,663,597.52
  5. Step 5: Solve for x
    x = 113,007,663,597.52/142,407
  6. Step 6: Final answer
    x = 793,554.13

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.