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Finding the Third Proportional to 161,351 and 354,547

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Solution

The third proportional to 161,351 and 354,547 is: 779,069.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,351 : 354,547 = 354,547 : x
  2. Step 2: Convert to fraction form
    161,351/354,547 = 354,547/x
  3. Step 3: Cross multiply
    161,351x = 354,547 × 354,547
  4. Step 4: Simplify right side
    161,351x = 125,703,575,209
  5. Step 5: Solve for x
    x = 125,703,575,209/161,351
  6. Step 6: Final answer
    x = 779,069.08

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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.