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Finding the Third Proportional to 515,865.38 and 579,835.13

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Solution

The third proportional to 515,865.38 and 579,835.13 is: 651,737.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,865.38 : 579,835.13 = 579,835.13 : x
  2. Step 2: Convert to fraction form
    515,865.38/579,835.13 = 579,835.13/x
  3. Step 3: Cross multiply
    515,865.38x = 579,835.13 × 579,835.13
  4. Step 4: Simplify right side
    515,865.38x = 336,208,772,183.77
  5. Step 5: Solve for x
    x = 336,208,772,183.77/515,865.38
  6. Step 6: Final answer
    x = 651,737.43

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.