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Finding the Third Proportional to 343,409 and 525,320

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Solution

The third proportional to 343,409 and 525,320 is: 803,593.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,409 : 525,320 = 525,320 : x
  2. Step 2: Convert to fraction form
    343,409/525,320 = 525,320/x
  3. Step 3: Cross multiply
    343,409x = 525,320 × 525,320
  4. Step 4: Simplify right side
    343,409x = 275,961,102,400
  5. Step 5: Solve for x
    x = 275,961,102,400/343,409
  6. Step 6: Final answer
    x = 803,593.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.