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Finding the Third Proportional to 360,155 and 781,357

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Solution

The third proportional to 360,155 and 781,357 is: 1,695,155.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,155 : 781,357 = 781,357 : x
  2. Step 2: Convert to fraction form
    360,155/781,357 = 781,357/x
  3. Step 3: Cross multiply
    360,155x = 781,357 × 781,357
  4. Step 4: Simplify right side
    360,155x = 610,518,761,449
  5. Step 5: Solve for x
    x = 610,518,761,449/360,155
  6. Step 6: Final answer
    x = 1,695,155.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.