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Finding the Third Proportional to 514,821 and 778,882

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Solution

The third proportional to 514,821 and 778,882 is: 1,178,384.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,821 : 778,882 = 778,882 : x
  2. Step 2: Convert to fraction form
    514,821/778,882 = 778,882/x
  3. Step 3: Cross multiply
    514,821x = 778,882 × 778,882
  4. Step 4: Simplify right side
    514,821x = 606,657,169,924
  5. Step 5: Solve for x
    x = 606,657,169,924/514,821
  6. Step 6: Final answer
    x = 1,178,384.66

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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.