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Finding the Third Proportional to 29,307 and 64,590

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Solution

The third proportional to 29,307 and 64,590 is: 142,350.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,307 : 64,590 = 64,590 : x
  2. Step 2: Convert to fraction form
    29,307/64,590 = 64,590/x
  3. Step 3: Cross multiply
    29,307x = 64,590 × 64,590
  4. Step 4: Simplify right side
    29,307x = 4,171,868,100
  5. Step 5: Solve for x
    x = 4,171,868,100/29,307
  6. Step 6: Final answer
    x = 142,350.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.