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Finding the Third Proportional to 298,587,039.75 and 654,570,011.25

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Solution

The third proportional to 298,587,039.75 and 654,570,011.25 is: 1,434,964,826.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,587,039.75 : 654,570,011.25 = 654,570,011.25 : x
  2. Step 2: Convert to fraction form
    298,587,039.75/654,570,011.25 = 654,570,011.25/x
  3. Step 3: Cross multiply
    298,587,039.75x = 654,570,011.25 × 654,570,011.25
  4. Step 4: Simplify right side
    298,587,039.75x = 428,461,899,627,825,152
  5. Step 5: Solve for x
    x = 428,461,899,627,825,152/298,587,039.75
  6. Step 6: Final answer
    x = 1,434,964,826.29

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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.