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Finding the Third Proportional to 453,043.13 and 685,275.19

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Solution

The third proportional to 453,043.13 and 685,275.19 is: 1,036,550.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,043.13 : 685,275.19 = 685,275.19 : x
  2. Step 2: Convert to fraction form
    453,043.13/685,275.19 = 685,275.19/x
  3. Step 3: Cross multiply
    453,043.13x = 685,275.19 × 685,275.19
  4. Step 4: Simplify right side
    453,043.13x = 469,602,082,603.16
  5. Step 5: Solve for x
    x = 469,602,082,603.16/453,043.13
  6. Step 6: Final answer
    x = 1,036,550.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.