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Finding the Third Proportional to 514,824 and 778,887

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Solution

The third proportional to 514,824 and 778,887 is: 1,178,392.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,824 : 778,887 = 778,887 : x
  2. Step 2: Convert to fraction form
    514,824/778,887 = 778,887/x
  3. Step 3: Cross multiply
    514,824x = 778,887 × 778,887
  4. Step 4: Simplify right side
    514,824x = 606,664,958,769
  5. Step 5: Solve for x
    x = 606,664,958,769/514,824
  6. Step 6: Final answer
    x = 1,178,392.92

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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.