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Finding the Third Proportional to 913,628,236.50 and 1,353,850,769.25

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Solution

The third proportional to 913,628,236.50 and 1,353,850,769.25 is: 2,006,190,080.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,628,236.50 : 1,353,850,769.25 = 1,353,850,769.25 : x
  2. Step 2: Convert to fraction form
    913,628,236.50/1,353,850,769.25 = 1,353,850,769.25/x
  3. Step 3: Cross multiply
    913,628,236.50x = 1,353,850,769.25 × 1,353,850,769.25
  4. Step 4: Simplify right side
    913,628,236.50x = 1,832,911,905,398,816,768
  5. Step 5: Solve for x
    x = 1,832,911,905,398,816,768/913,628,236.50
  6. Step 6: Final answer
    x = 2,006,190,080.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.