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Finding the Third Proportional to 34,490 and 77,909

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Solution

The third proportional to 34,490 and 77,909 is: 175,987.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,490 : 77,909 = 77,909 : x
  2. Step 2: Convert to fraction form
    34,490/77,909 = 77,909/x
  3. Step 3: Cross multiply
    34,490x = 77,909 × 77,909
  4. Step 4: Simplify right side
    34,490x = 6,069,812,281
  5. Step 5: Solve for x
    x = 6,069,812,281/34,490
  6. Step 6: Final answer
    x = 175,987.60

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.