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Finding the Third Proportional to 355,455.84 and 760,939.31

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Solution

The third proportional to 355,455.84 and 760,939.31 is: 1,628,974.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,455.84 : 760,939.31 = 760,939.31 : x
  2. Step 2: Convert to fraction form
    355,455.84/760,939.31 = 760,939.31/x
  3. Step 3: Cross multiply
    355,455.84x = 760,939.31 × 760,939.31
  4. Step 4: Simplify right side
    355,455.84x = 579,028,637,307.97
  5. Step 5: Solve for x
    x = 579,028,637,307.97/355,455.84
  6. Step 6: Final answer
    x = 1,628,974.87

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Why These Related Problems?

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