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Finding the Third Proportional to 585,059.63 and 821,479.50

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Solution

The third proportional to 585,059.63 and 821,479.50 is: 1,153,435.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,059.63 : 821,479.50 = 821,479.50 : x
  2. Step 2: Convert to fraction form
    585,059.63/821,479.50 = 821,479.50/x
  3. Step 3: Cross multiply
    585,059.63x = 821,479.50 × 821,479.50
  4. Step 4: Simplify right side
    585,059.63x = 674,828,568,920.25
  5. Step 5: Solve for x
    x = 674,828,568,920.25/585,059.63
  6. Step 6: Final answer
    x = 1,153,435.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.