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Finding the Third Proportional to 77,021 and 114,402

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Solution

The third proportional to 77,021 and 114,402 is: 169,925.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,021 : 114,402 = 114,402 : x
  2. Step 2: Convert to fraction form
    77,021/114,402 = 114,402/x
  3. Step 3: Cross multiply
    77,021x = 114,402 × 114,402
  4. Step 4: Simplify right side
    77,021x = 13,087,817,604
  5. Step 5: Solve for x
    x = 13,087,817,604/77,021
  6. Step 6: Final answer
    x = 169,925.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.