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Finding the Third Proportional to 51,358 and 77,402

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Solution

The third proportional to 51,358 and 77,402 is: 116,653.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,358 : 77,402 = 77,402 : x
  2. Step 2: Convert to fraction form
    51,358/77,402 = 77,402/x
  3. Step 3: Cross multiply
    51,358x = 77,402 × 77,402
  4. Step 4: Simplify right side
    51,358x = 5,991,069,604
  5. Step 5: Solve for x
    x = 5,991,069,604/51,358
  6. Step 6: Final answer
    x = 116,653.09

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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.