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Finding the Third Proportional to 341,402 and 516,819

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Solution

The third proportional to 341,402 and 516,819 is: 782,367.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,402 : 516,819 = 516,819 : x
  2. Step 2: Convert to fraction form
    341,402/516,819 = 516,819/x
  3. Step 3: Cross multiply
    341,402x = 516,819 × 516,819
  4. Step 4: Simplify right side
    341,402x = 267,101,878,761
  5. Step 5: Solve for x
    x = 267,101,878,761/341,402
  6. Step 6: Final answer
    x = 782,367.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.