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Finding the Third Proportional to 421,012.69 and 618,579.28

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Solution

The third proportional to 421,012.69 and 618,579.28 is: 908,857.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,012.69 : 618,579.28 = 618,579.28 : x
  2. Step 2: Convert to fraction form
    421,012.69/618,579.28 = 618,579.28/x
  3. Step 3: Cross multiply
    421,012.69x = 618,579.28 × 618,579.28
  4. Step 4: Simplify right side
    421,012.69x = 382,640,327,191.77
  5. Step 5: Solve for x
    x = 382,640,327,191.77/421,012.69
  6. Step 6: Final answer
    x = 908,857.00

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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.