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Finding the Third Proportional to 354,681 and 545,174

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Solution

The third proportional to 354,681 and 545,174 is: 837,977.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,681 : 545,174 = 545,174 : x
  2. Step 2: Convert to fraction form
    354,681/545,174 = 545,174/x
  3. Step 3: Cross multiply
    354,681x = 545,174 × 545,174
  4. Step 4: Simplify right side
    354,681x = 297,214,690,276
  5. Step 5: Solve for x
    x = 297,214,690,276/354,681
  6. Step 6: Final answer
    x = 837,977.48

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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.