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Finding the Third Proportional to 346,241 and 521,640

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Solution

The third proportional to 346,241 and 521,640 is: 785,892.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,241 : 521,640 = 521,640 : x
  2. Step 2: Convert to fraction form
    346,241/521,640 = 521,640/x
  3. Step 3: Cross multiply
    346,241x = 521,640 × 521,640
  4. Step 4: Simplify right side
    346,241x = 272,108,289,600
  5. Step 5: Solve for x
    x = 272,108,289,600/346,241
  6. Step 6: Final answer
    x = 785,892.74

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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.