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Finding the Third Proportional to 388,035.75 and 579,664.50

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Solution

The third proportional to 388,035.75 and 579,664.50 is: 865,927.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,035.75 : 579,664.50 = 579,664.50 : x
  2. Step 2: Convert to fraction form
    388,035.75/579,664.50 = 579,664.50/x
  3. Step 3: Cross multiply
    388,035.75x = 579,664.50 × 579,664.50
  4. Step 4: Simplify right side
    388,035.75x = 336,010,932,560.25
  5. Step 5: Solve for x
    x = 336,010,932,560.25/388,035.75
  6. Step 6: Final answer
    x = 865,927.77

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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.