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Finding the Third Proportional to 340,416 and 538,784

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Solution

The third proportional to 340,416 and 538,784 is: 852,745.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,416 : 538,784 = 538,784 : x
  2. Step 2: Convert to fraction form
    340,416/538,784 = 538,784/x
  3. Step 3: Cross multiply
    340,416x = 538,784 × 538,784
  4. Step 4: Simplify right side
    340,416x = 290,288,198,656
  5. Step 5: Solve for x
    x = 290,288,198,656/340,416
  6. Step 6: Final answer
    x = 852,745.46

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.