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Finding the Third Proportional to 354,623 and 545,057

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Solution

The third proportional to 354,623 and 545,057 is: 837,754.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,623 : 545,057 = 545,057 : x
  2. Step 2: Convert to fraction form
    354,623/545,057 = 545,057/x
  3. Step 3: Cross multiply
    354,623x = 545,057 × 545,057
  4. Step 4: Simplify right side
    354,623x = 297,087,133,249
  5. Step 5: Solve for x
    x = 297,087,133,249/354,623
  6. Step 6: Final answer
    x = 837,754.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.