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Finding the Third Proportional to 34,507 and 70,281

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Solution

The third proportional to 34,507 and 70,281 is: 143,142.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,507 : 70,281 = 70,281 : x
  2. Step 2: Convert to fraction form
    34,507/70,281 = 70,281/x
  3. Step 3: Cross multiply
    34,507x = 70,281 × 70,281
  4. Step 4: Simplify right side
    34,507x = 4,939,418,961
  5. Step 5: Solve for x
    x = 4,939,418,961/34,507
  6. Step 6: Final answer
    x = 143,142.52

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.