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Finding the Third Proportional to 321,527 and 493,410

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Solution

The third proportional to 321,527 and 493,410 is: 757,178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,527 : 493,410 = 493,410 : x
  2. Step 2: Convert to fraction form
    321,527/493,410 = 493,410/x
  3. Step 3: Cross multiply
    321,527x = 493,410 × 493,410
  4. Step 4: Simplify right side
    321,527x = 243,453,428,100
  5. Step 5: Solve for x
    x = 243,453,428,100/321,527
  6. Step 6: Final answer
    x = 757,178.80

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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.