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Finding the Third Proportional to 645,155,828 and 1,415,722,912

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Solution

The third proportional to 645,155,828 and 1,415,722,912 is: 3,106,646,916.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,155,828 : 1,415,722,912 = 1,415,722,912 : x
  2. Step 2: Convert to fraction form
    645,155,828/1,415,722,912 = 1,415,722,912/x
  3. Step 3: Cross multiply
    645,155,828x = 1,415,722,912 × 1,415,722,912
  4. Step 4: Simplify right side
    645,155,828x = 2,004,271,363,561,759,744
  5. Step 5: Solve for x
    x = 2,004,271,363,561,759,744/645,155,828
  6. Step 6: Final answer
    x = 3,106,646,916.26

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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.