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Finding the Third Proportional to 355,802 and 521,127

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Solution

The third proportional to 355,802 and 521,127 is: 763,271.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,802 : 521,127 = 521,127 : x
  2. Step 2: Convert to fraction form
    355,802/521,127 = 521,127/x
  3. Step 3: Cross multiply
    355,802x = 521,127 × 521,127
  4. Step 4: Simplify right side
    355,802x = 271,573,350,129
  5. Step 5: Solve for x
    x = 271,573,350,129/355,802
  6. Step 6: Final answer
    x = 763,271.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.