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Finding the Third Proportional to 487,936 and 761,415

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Solution

The third proportional to 487,936 and 761,415 is: 1,188,173.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,936 : 761,415 = 761,415 : x
  2. Step 2: Convert to fraction form
    487,936/761,415 = 761,415/x
  3. Step 3: Cross multiply
    487,936x = 761,415 × 761,415
  4. Step 4: Simplify right side
    487,936x = 579,752,802,225
  5. Step 5: Solve for x
    x = 579,752,802,225/487,936
  6. Step 6: Final answer
    x = 1,188,173.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.