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Finding the Third Proportional to 286,726 and 455,514

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Solution

The third proportional to 286,726 and 455,514 is: 723,663.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,726 : 455,514 = 455,514 : x
  2. Step 2: Convert to fraction form
    286,726/455,514 = 455,514/x
  3. Step 3: Cross multiply
    286,726x = 455,514 × 455,514
  4. Step 4: Simplify right side
    286,726x = 207,493,004,196
  5. Step 5: Solve for x
    x = 207,493,004,196/286,726
  6. Step 6: Final answer
    x = 723,663.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.