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Finding the Third Proportional to 352,643 and 758,311

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Solution

The third proportional to 352,643 and 758,311 is: 1,630,645.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,643 : 758,311 = 758,311 : x
  2. Step 2: Convert to fraction form
    352,643/758,311 = 758,311/x
  3. Step 3: Cross multiply
    352,643x = 758,311 × 758,311
  4. Step 4: Simplify right side
    352,643x = 575,035,572,721
  5. Step 5: Solve for x
    x = 575,035,572,721/352,643
  6. Step 6: Final answer
    x = 1,630,645.08

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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.