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Finding the Third Proportional to 138,447 and 300,910.50

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Solution

The third proportional to 138,447 and 300,910.50 is: 654,020.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,447 : 300,910.50 = 300,910.50 : x
  2. Step 2: Convert to fraction form
    138,447/300,910.50 = 300,910.50/x
  3. Step 3: Cross multiply
    138,447x = 300,910.50 × 300,910.50
  4. Step 4: Simplify right side
    138,447x = 90,547,129,010.25
  5. Step 5: Solve for x
    x = 90,547,129,010.25/138,447
  6. Step 6: Final answer
    x = 654,020.16

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