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Finding the Third Proportional to 161,506 and 353,778

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Solution

The third proportional to 161,506 and 353,778 is: 774,948.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,506 : 353,778 = 353,778 : x
  2. Step 2: Convert to fraction form
    161,506/353,778 = 353,778/x
  3. Step 3: Cross multiply
    161,506x = 353,778 × 353,778
  4. Step 4: Simplify right side
    161,506x = 125,158,873,284
  5. Step 5: Solve for x
    x = 125,158,873,284/161,506
  6. Step 6: Final answer
    x = 774,948.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.