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Finding the Third Proportional to 389,172 and 581,346

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Solution

The third proportional to 389,172 and 581,346 is: 868,415.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,172 : 581,346 = 581,346 : x
  2. Step 2: Convert to fraction form
    389,172/581,346 = 581,346/x
  3. Step 3: Cross multiply
    389,172x = 581,346 × 581,346
  4. Step 4: Simplify right side
    389,172x = 337,963,171,716
  5. Step 5: Solve for x
    x = 337,963,171,716/389,172
  6. Step 6: Final answer
    x = 868,415.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.