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Finding the Third Proportional to 77,951 and 121,490

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Solution

The third proportional to 77,951 and 121,490 is: 189,347.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,951 : 121,490 = 121,490 : x
  2. Step 2: Convert to fraction form
    77,951/121,490 = 121,490/x
  3. Step 3: Cross multiply
    77,951x = 121,490 × 121,490
  4. Step 4: Simplify right side
    77,951x = 14,759,820,100
  5. Step 5: Solve for x
    x = 14,759,820,100/77,951
  6. Step 6: Final answer
    x = 189,347.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.