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Finding the Third Proportional to 384,310 and 553,624

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Solution

The third proportional to 384,310 and 553,624 is: 797,532.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,310 : 553,624 = 553,624 : x
  2. Step 2: Convert to fraction form
    384,310/553,624 = 553,624/x
  3. Step 3: Cross multiply
    384,310x = 553,624 × 553,624
  4. Step 4: Simplify right side
    384,310x = 306,499,533,376
  5. Step 5: Solve for x
    x = 306,499,533,376/384,310
  6. Step 6: Final answer
    x = 797,532.03

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.