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Finding the Third Proportional to 320,521 and 685,511

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Solution

The third proportional to 320,521 and 685,511 is: 1,466,129.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,521 : 685,511 = 685,511 : x
  2. Step 2: Convert to fraction form
    320,521/685,511 = 685,511/x
  3. Step 3: Cross multiply
    320,521x = 685,511 × 685,511
  4. Step 4: Simplify right side
    320,521x = 469,925,331,121
  5. Step 5: Solve for x
    x = 469,925,331,121/320,521
  6. Step 6: Final answer
    x = 1,466,129.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.