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Finding the Third Proportional to 355,632 and 772,320

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Solution

The third proportional to 355,632 and 772,320 is: 1,677,234.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,632 : 772,320 = 772,320 : x
  2. Step 2: Convert to fraction form
    355,632/772,320 = 772,320/x
  3. Step 3: Cross multiply
    355,632x = 772,320 × 772,320
  4. Step 4: Simplify right side
    355,632x = 596,478,182,400
  5. Step 5: Solve for x
    x = 596,478,182,400/355,632
  6. Step 6: Final answer
    x = 1,677,234.28

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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.