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Finding the Third Proportional to 387,834.75 and 579,417.75

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Solution

The third proportional to 387,834.75 and 579,417.75 is: 865,639.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,834.75 : 579,417.75 = 579,417.75 : x
  2. Step 2: Convert to fraction form
    387,834.75/579,417.75 = 579,417.75/x
  3. Step 3: Cross multiply
    387,834.75x = 579,417.75 × 579,417.75
  4. Step 4: Simplify right side
    387,834.75x = 335,724,929,015.06
  5. Step 5: Solve for x
    x = 335,724,929,015.06/387,834.75
  6. Step 6: Final answer
    x = 865,639.11

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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.