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Finding the Third Proportional to 343,520 and 545,136

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Solution

The third proportional to 343,520 and 545,136 is: 865,082.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,520 : 545,136 = 545,136 : x
  2. Step 2: Convert to fraction form
    343,520/545,136 = 545,136/x
  3. Step 3: Cross multiply
    343,520x = 545,136 × 545,136
  4. Step 4: Simplify right side
    343,520x = 297,173,258,496
  5. Step 5: Solve for x
    x = 297,173,258,496/343,520
  6. Step 6: Final answer
    x = 865,082.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.