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Finding the Third Proportional to 53,421 and 83,046

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Solution

The third proportional to 53,421 and 83,046 is: 129,099.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,421 : 83,046 = 83,046 : x
  2. Step 2: Convert to fraction form
    53,421/83,046 = 83,046/x
  3. Step 3: Cross multiply
    53,421x = 83,046 × 83,046
  4. Step 4: Simplify right side
    53,421x = 6,896,638,116
  5. Step 5: Solve for x
    x = 6,896,638,116/53,421
  6. Step 6: Final answer
    x = 129,099.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.