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Finding the Third Proportional to 161,445 and 354,727.50

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Solution

The third proportional to 161,445 and 354,727.50 is: 779,408.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,445 : 354,727.50 = 354,727.50 : x
  2. Step 2: Convert to fraction form
    161,445/354,727.50 = 354,727.50/x
  3. Step 3: Cross multiply
    161,445x = 354,727.50 × 354,727.50
  4. Step 4: Simplify right side
    161,445x = 125,831,599,256.25
  5. Step 5: Solve for x
    x = 125,831,599,256.25/161,445
  6. Step 6: Final answer
    x = 779,408.46

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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.