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Finding the Third Proportional to 410,520 and 614,136

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Solution

The third proportional to 410,520 and 614,136 is: 918,744.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,520 : 614,136 = 614,136 : x
  2. Step 2: Convert to fraction form
    410,520/614,136 = 614,136/x
  3. Step 3: Cross multiply
    410,520x = 614,136 × 614,136
  4. Step 4: Simplify right side
    410,520x = 377,163,026,496
  5. Step 5: Solve for x
    x = 377,163,026,496/410,520
  6. Step 6: Final answer
    x = 918,744.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.