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Finding the Third Proportional to 355,034 and 772,276

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Solution

The third proportional to 355,034 and 772,276 is: 1,679,867.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,034 : 772,276 = 772,276 : x
  2. Step 2: Convert to fraction form
    355,034/772,276 = 772,276/x
  3. Step 3: Cross multiply
    355,034x = 772,276 × 772,276
  4. Step 4: Simplify right side
    355,034x = 596,410,220,176
  5. Step 5: Solve for x
    x = 596,410,220,176/355,034
  6. Step 6: Final answer
    x = 1,679,867.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.