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Finding the Third Proportional to 282,053 and 619,915

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Solution

The third proportional to 282,053 and 619,915 is: 1,362,490.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,053 : 619,915 = 619,915 : x
  2. Step 2: Convert to fraction form
    282,053/619,915 = 619,915/x
  3. Step 3: Cross multiply
    282,053x = 619,915 × 619,915
  4. Step 4: Simplify right side
    282,053x = 384,294,607,225
  5. Step 5: Solve for x
    x = 384,294,607,225/282,053
  6. Step 6: Final answer
    x = 1,362,490.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.