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Finding the Third Proportional to 286,714.69 and 455,497.88

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Solution

The third proportional to 286,714.69 and 455,497.88 is: 723,640.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,714.69 : 455,497.88 = 455,497.88 : x
  2. Step 2: Convert to fraction form
    286,714.69/455,497.88 = 455,497.88/x
  3. Step 3: Cross multiply
    286,714.69x = 455,497.88 × 455,497.88
  4. Step 4: Simplify right side
    286,714.69x = 207,478,314,129.52
  5. Step 5: Solve for x
    x = 207,478,314,129.52/286,714.69
  6. Step 6: Final answer
    x = 723,640.34

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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.