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Finding the Third Proportional to 29,280 and 64,391

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Solution

The third proportional to 29,280 and 64,391 is: 141,605.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,280 : 64,391 = 64,391 : x
  2. Step 2: Convert to fraction form
    29,280/64,391 = 64,391/x
  3. Step 3: Cross multiply
    29,280x = 64,391 × 64,391
  4. Step 4: Simplify right side
    29,280x = 4,146,200,881
  5. Step 5: Solve for x
    x = 4,146,200,881/29,280
  6. Step 6: Final answer
    x = 141,605.22

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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.