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Finding the Third Proportional to 346,238 and 521,634

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Solution

The third proportional to 346,238 and 521,634 is: 785,881.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,238 : 521,634 = 521,634 : x
  2. Step 2: Convert to fraction form
    346,238/521,634 = 521,634/x
  3. Step 3: Cross multiply
    346,238x = 521,634 × 521,634
  4. Step 4: Simplify right side
    346,238x = 272,102,029,956
  5. Step 5: Solve for x
    x = 272,102,029,956/346,238
  6. Step 6: Final answer
    x = 785,881.47

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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.