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Finding the Third Proportional to 72,413 and 155,723

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Solution

The third proportional to 72,413 and 155,723 is: 334,879.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,413 : 155,723 = 155,723 : x
  2. Step 2: Convert to fraction form
    72,413/155,723 = 155,723/x
  3. Step 3: Cross multiply
    72,413x = 155,723 × 155,723
  4. Step 4: Simplify right side
    72,413x = 24,249,652,729
  5. Step 5: Solve for x
    x = 24,249,652,729/72,413
  6. Step 6: Final answer
    x = 334,879.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.