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Finding the Third Proportional to 29,911 and 64,776

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Solution

The third proportional to 29,911 and 64,776 is: 140,280.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,911 : 64,776 = 64,776 : x
  2. Step 2: Convert to fraction form
    29,911/64,776 = 64,776/x
  3. Step 3: Cross multiply
    29,911x = 64,776 × 64,776
  4. Step 4: Simplify right side
    29,911x = 4,195,930,176
  5. Step 5: Solve for x
    x = 4,195,930,176/29,911
  6. Step 6: Final answer
    x = 140,280.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.