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Finding the Third Proportional to 1,105,714.13 and 2,365,132.50

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Solution

The third proportional to 1,105,714.13 and 2,365,132.50 is: 5,059,039.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105,714.13 : 2,365,132.50 = 2,365,132.50 : x
  2. Step 2: Convert to fraction form
    1,105,714.13/2,365,132.50 = 2,365,132.50/x
  3. Step 3: Cross multiply
    1,105,714.13x = 2,365,132.50 × 2,365,132.50
  4. Step 4: Simplify right side
    1,105,714.13x = 5,593,851,742,556.25
  5. Step 5: Solve for x
    x = 5,593,851,742,556.25/1,105,714.13
  6. Step 6: Final answer
    x = 5,059,039.78

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.