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Finding the Third Proportional to 317,816.16 and 686,047.22

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Solution

The third proportional to 317,816.16 and 686,047.22 is: 1,480,921.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,816.16 : 686,047.22 = 686,047.22 : x
  2. Step 2: Convert to fraction form
    317,816.16/686,047.22 = 686,047.22/x
  3. Step 3: Cross multiply
    317,816.16x = 686,047.22 × 686,047.22
  4. Step 4: Simplify right side
    317,816.16x = 470,660,786,354.61
  5. Step 5: Solve for x
    x = 470,660,786,354.61/317,816.16
  6. Step 6: Final answer
    x = 1,480,921.52

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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.