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Finding the Third Proportional to 519,432 and 779,148

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Solution

The third proportional to 519,432 and 779,148 is: 1,168,722

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,432 : 779,148 = 779,148 : x
  2. Step 2: Convert to fraction form
    519,432/779,148 = 779,148/x
  3. Step 3: Cross multiply
    519,432x = 779,148 × 779,148
  4. Step 4: Simplify right side
    519,432x = 607,071,605,904
  5. Step 5: Solve for x
    x = 607,071,605,904/519,432
  6. Step 6: Final answer
    x = 1,168,722

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.