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Finding the Third Proportional to 355,642 and 772,336

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Solution

The third proportional to 355,642 and 772,336 is: 1,677,256.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,642 : 772,336 = 772,336 : x
  2. Step 2: Convert to fraction form
    355,642/772,336 = 772,336/x
  3. Step 3: Cross multiply
    355,642x = 772,336 × 772,336
  4. Step 4: Simplify right side
    355,642x = 596,502,896,896
  5. Step 5: Solve for x
    x = 596,502,896,896/355,642
  6. Step 6: Final answer
    x = 1,677,256.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.