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Finding the Third Proportional to 312,921 and 686,733.75

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Solution

The third proportional to 312,921 and 686,733.75 is: 1,507,100.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,921 : 686,733.75 = 686,733.75 : x
  2. Step 2: Convert to fraction form
    312,921/686,733.75 = 686,733.75/x
  3. Step 3: Cross multiply
    312,921x = 686,733.75 × 686,733.75
  4. Step 4: Simplify right side
    312,921x = 471,603,243,389.06
  5. Step 5: Solve for x
    x = 471,603,243,389.06/312,921
  6. Step 6: Final answer
    x = 1,507,100.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.