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Finding the Third Proportional to 455,128 and 713,872

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Solution

The third proportional to 455,128 and 713,872 is: 1,119,714.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,128 : 713,872 = 713,872 : x
  2. Step 2: Convert to fraction form
    455,128/713,872 = 713,872/x
  3. Step 3: Cross multiply
    455,128x = 713,872 × 713,872
  4. Step 4: Simplify right side
    455,128x = 509,613,232,384
  5. Step 5: Solve for x
    x = 509,613,232,384/455,128
  6. Step 6: Final answer
    x = 1,119,714.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.