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Finding the Third Proportional to 81,148 and 174,779

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Solution

The third proportional to 81,148 and 174,779 is: 376,444.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,148 : 174,779 = 174,779 : x
  2. Step 2: Convert to fraction form
    81,148/174,779 = 174,779/x
  3. Step 3: Cross multiply
    81,148x = 174,779 × 174,779
  4. Step 4: Simplify right side
    81,148x = 30,547,698,841
  5. Step 5: Solve for x
    x = 30,547,698,841/81,148
  6. Step 6: Final answer
    x = 376,444.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.