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Finding the Third Proportional to 343,406 and 525,315

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Solution

The third proportional to 343,406 and 525,315 is: 803,584.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,406 : 525,315 = 525,315 : x
  2. Step 2: Convert to fraction form
    343,406/525,315 = 525,315/x
  3. Step 3: Cross multiply
    343,406x = 525,315 × 525,315
  4. Step 4: Simplify right side
    343,406x = 275,955,849,225
  5. Step 5: Solve for x
    x = 275,955,849,225/343,406
  6. Step 6: Final answer
    x = 803,584.82

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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.