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Finding the Third Proportional to 514,823 and 778,889

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Solution

The third proportional to 514,823 and 778,889 is: 1,178,401.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,823 : 778,889 = 778,889 : x
  2. Step 2: Convert to fraction form
    514,823/778,889 = 778,889/x
  3. Step 3: Cross multiply
    514,823x = 778,889 × 778,889
  4. Step 4: Simplify right side
    514,823x = 606,668,074,321
  5. Step 5: Solve for x
    x = 606,668,074,321/514,823
  6. Step 6: Final answer
    x = 1,178,401.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.