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Finding the Third Proportional to 453,721.50 and 978,153.75

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Solution

The third proportional to 453,721.50 and 978,153.75 is: 2,108,749.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,721.50 : 978,153.75 = 978,153.75 : x
  2. Step 2: Convert to fraction form
    453,721.50/978,153.75 = 978,153.75/x
  3. Step 3: Cross multiply
    453,721.50x = 978,153.75 × 978,153.75
  4. Step 4: Simplify right side
    453,721.50x = 956,784,758,639.06
  5. Step 5: Solve for x
    x = 956,784,758,639.06/453,721.50
  6. Step 6: Final answer
    x = 2,108,749.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.