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Finding the Third Proportional to 338,108.63 and 713,943

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Solution

The third proportional to 338,108.63 and 713,943 is: 1,507,546.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,108.63 : 713,943 = 713,943 : x
  2. Step 2: Convert to fraction form
    338,108.63/713,943 = 713,943/x
  3. Step 3: Cross multiply
    338,108.63x = 713,943 × 713,943
  4. Step 4: Simplify right side
    338,108.63x = 509,714,607,249
  5. Step 5: Solve for x
    x = 509,714,607,249/338,108.63
  6. Step 6: Final answer
    x = 1,507,546.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.