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Finding the Third Proportional to 142,888.50 and 319,608

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Solution

The third proportional to 142,888.50 and 319,608 is: 714,888.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,888.50 : 319,608 = 319,608 : x
  2. Step 2: Convert to fraction form
    142,888.50/319,608 = 319,608/x
  3. Step 3: Cross multiply
    142,888.50x = 319,608 × 319,608
  4. Step 4: Simplify right side
    142,888.50x = 102,149,273,664
  5. Step 5: Solve for x
    x = 102,149,273,664/142,888.50
  6. Step 6: Final answer
    x = 714,888.00

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These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.