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Finding the Third Proportional to 355,660 and 545,332

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Solution

The third proportional to 355,660 and 545,332 is: 836,155.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,660 : 545,332 = 545,332 : x
  2. Step 2: Convert to fraction form
    355,660/545,332 = 545,332/x
  3. Step 3: Cross multiply
    355,660x = 545,332 × 545,332
  4. Step 4: Simplify right side
    355,660x = 297,386,990,224
  5. Step 5: Solve for x
    x = 297,386,990,224/355,660
  6. Step 6: Final answer
    x = 836,155.29

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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.