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Finding the Third Proportional to 353,136 and 540,315

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Solution

The third proportional to 353,136 and 540,315 is: 826,707.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,136 : 540,315 = 540,315 : x
  2. Step 2: Convert to fraction form
    353,136/540,315 = 540,315/x
  3. Step 3: Cross multiply
    353,136x = 540,315 × 540,315
  4. Step 4: Simplify right side
    353,136x = 291,940,299,225
  5. Step 5: Solve for x
    x = 291,940,299,225/353,136
  6. Step 6: Final answer
    x = 826,707.84

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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.