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Finding the Third Proportional to 514,830 and 778,896

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Solution

The third proportional to 514,830 and 778,896 is: 1,178,406.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,830 : 778,896 = 778,896 : x
  2. Step 2: Convert to fraction form
    514,830/778,896 = 778,896/x
  3. Step 3: Cross multiply
    514,830x = 778,896 × 778,896
  4. Step 4: Simplify right side
    514,830x = 606,678,978,816
  5. Step 5: Solve for x
    x = 606,678,978,816/514,830
  6. Step 6: Final answer
    x = 1,178,406.42

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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.