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Finding the Third Proportional to 354,646 and 545,127

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Solution

The third proportional to 354,646 and 545,127 is: 837,915.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,646 : 545,127 = 545,127 : x
  2. Step 2: Convert to fraction form
    354,646/545,127 = 545,127/x
  3. Step 3: Cross multiply
    354,646x = 545,127 × 545,127
  4. Step 4: Simplify right side
    354,646x = 297,163,446,129
  5. Step 5: Solve for x
    x = 297,163,446,129/354,646
  6. Step 6: Final answer
    x = 837,915.69

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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.