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Finding the Third Proportional to 580,425.75 and 879,401.81

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Solution

The third proportional to 580,425.75 and 879,401.81 is: 1,332,379.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,425.75 : 879,401.81 = 879,401.81 : x
  2. Step 2: Convert to fraction form
    580,425.75/879,401.81 = 879,401.81/x
  3. Step 3: Cross multiply
    580,425.75x = 879,401.81 × 879,401.81
  4. Step 4: Simplify right side
    580,425.75x = 773,347,547,828.29
  5. Step 5: Solve for x
    x = 773,347,547,828.29/580,425.75
  6. Step 6: Final answer
    x = 1,332,379.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.