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Finding the Third Proportional to 355,662 and 545,335

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Solution

The third proportional to 355,662 and 545,335 is: 836,159.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,662 : 545,335 = 545,335 : x
  2. Step 2: Convert to fraction form
    355,662/545,335 = 545,335/x
  3. Step 3: Cross multiply
    355,662x = 545,335 × 545,335
  4. Step 4: Simplify right side
    355,662x = 297,390,262,225
  5. Step 5: Solve for x
    x = 297,390,262,225/355,662
  6. Step 6: Final answer
    x = 836,159.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.