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Finding the Third Proportional to 381,628 and 560,773

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Solution

The third proportional to 381,628 and 560,773 is: 824,012.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,628 : 560,773 = 560,773 : x
  2. Step 2: Convert to fraction form
    381,628/560,773 = 560,773/x
  3. Step 3: Cross multiply
    381,628x = 560,773 × 560,773
  4. Step 4: Simplify right side
    381,628x = 314,466,357,529
  5. Step 5: Solve for x
    x = 314,466,357,529/381,628
  6. Step 6: Final answer
    x = 824,012.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.