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Finding the Third Proportional to 487,916 and 761,383

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Solution

The third proportional to 487,916 and 761,383 is: 1,188,122.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,916 : 761,383 = 761,383 : x
  2. Step 2: Convert to fraction form
    487,916/761,383 = 761,383/x
  3. Step 3: Cross multiply
    487,916x = 761,383 × 761,383
  4. Step 4: Simplify right side
    487,916x = 579,704,072,689
  5. Step 5: Solve for x
    x = 579,704,072,689/487,916
  6. Step 6: Final answer
    x = 1,188,122.69

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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.