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Finding the Third Proportional to 34,140 and 53,438

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Solution

The third proportional to 34,140 and 53,438 is: 83,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,140 : 53,438 = 53,438 : x
  2. Step 2: Convert to fraction form
    34,140/53,438 = 53,438/x
  3. Step 3: Cross multiply
    34,140x = 53,438 × 53,438
  4. Step 4: Simplify right side
    34,140x = 2,855,619,844
  5. Step 5: Solve for x
    x = 2,855,619,844/34,140
  6. Step 6: Final answer
    x = 83,644.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.