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Finding the Third Proportional to 51,428 and 77,787

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Solution

The third proportional to 51,428 and 77,787 is: 117,656.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,428 : 77,787 = 77,787 : x
  2. Step 2: Convert to fraction form
    51,428/77,787 = 77,787/x
  3. Step 3: Cross multiply
    51,428x = 77,787 × 77,787
  4. Step 4: Simplify right side
    51,428x = 6,050,817,369
  5. Step 5: Solve for x
    x = 6,050,817,369/51,428
  6. Step 6: Final answer
    x = 117,656.09

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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.