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Finding the Third Proportional to 419,315,106.75 and 912,260,615.81

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Solution

The third proportional to 419,315,106.75 and 912,260,615.81 is: 1,984,711,301.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,315,106.75 : 912,260,615.81 = 912,260,615.81 : x
  2. Step 2: Convert to fraction form
    419,315,106.75/912,260,615.81 = 912,260,615.81/x
  3. Step 3: Cross multiply
    419,315,106.75x = 912,260,615.81 × 912,260,615.81
  4. Step 4: Simplify right side
    419,315,106.75x = 832,219,431,162,601,728
  5. Step 5: Solve for x
    x = 832,219,431,162,601,728/419,315,106.75
  6. Step 6: Final answer
    x = 1,984,711,301.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.