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Finding the Third Proportional to 284,552 and 621,584

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Solution

The third proportional to 284,552 and 621,584 is: 1,357,806.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,552 : 621,584 = 621,584 : x
  2. Step 2: Convert to fraction form
    284,552/621,584 = 621,584/x
  3. Step 3: Cross multiply
    284,552x = 621,584 × 621,584
  4. Step 4: Simplify right side
    284,552x = 386,366,669,056
  5. Step 5: Solve for x
    x = 386,366,669,056/284,552
  6. Step 6: Final answer
    x = 1,357,806.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.