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Finding the Third Proportional to 51,426 and 77,784

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Solution

The third proportional to 51,426 and 77,784 is: 117,651.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,426 : 77,784 = 77,784 : x
  2. Step 2: Convert to fraction form
    51,426/77,784 = 77,784/x
  3. Step 3: Cross multiply
    51,426x = 77,784 × 77,784
  4. Step 4: Simplify right side
    51,426x = 6,050,350,656
  5. Step 5: Solve for x
    x = 6,050,350,656/51,426
  6. Step 6: Final answer
    x = 117,651.59

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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.