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Finding the Third Proportional to 439,945.50 and 686,210.25

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Solution

The third proportional to 439,945.50 and 686,210.25 is: 1,070,324.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,945.50 : 686,210.25 = 686,210.25 : x
  2. Step 2: Convert to fraction form
    439,945.50/686,210.25 = 686,210.25/x
  3. Step 3: Cross multiply
    439,945.50x = 686,210.25 × 686,210.25
  4. Step 4: Simplify right side
    439,945.50x = 470,884,507,205.06
  5. Step 5: Solve for x
    x = 470,884,507,205.06/439,945.50
  6. Step 6: Final answer
    x = 1,070,324.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.