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Finding the Third Proportional to 68,130 and 145,575

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Solution

The third proportional to 68,130 and 145,575 is: 311,053.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,130 : 145,575 = 145,575 : x
  2. Step 2: Convert to fraction form
    68,130/145,575 = 145,575/x
  3. Step 3: Cross multiply
    68,130x = 145,575 × 145,575
  4. Step 4: Simplify right side
    68,130x = 21,192,080,625
  5. Step 5: Solve for x
    x = 21,192,080,625/68,130
  6. Step 6: Final answer
    x = 311,053.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.