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Finding the Third Proportional to 199,085.34 and 431,378.16

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Solution

The third proportional to 199,085.34 and 431,378.16 is: 934,710.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,085.34 : 431,378.16 = 431,378.16 : x
  2. Step 2: Convert to fraction form
    199,085.34/431,378.16 = 431,378.16/x
  3. Step 3: Cross multiply
    199,085.34x = 431,378.16 × 431,378.16
  4. Step 4: Simplify right side
    199,085.34x = 186,087,113,689.65
  5. Step 5: Solve for x
    x = 186,087,113,689.65/199,085.34
  6. Step 6: Final answer
    x = 934,710.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.