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Finding the Third Proportional to 785,463,829.50 and 1,708,831,576.50

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Solution

The third proportional to 785,463,829.50 and 1,708,831,576.50 is: 3,717,682,784.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,463,829.50 : 1,708,831,576.50 = 1,708,831,576.50 : x
  2. Step 2: Convert to fraction form
    785,463,829.50/1,708,831,576.50 = 1,708,831,576.50/x
  3. Step 3: Cross multiply
    785,463,829.50x = 1,708,831,576.50 × 1,708,831,576.50
  4. Step 4: Simplify right side
    785,463,829.50x = 2,920,105,356,843,475,456
  5. Step 5: Solve for x
    x = 2,920,105,356,843,475,456/785,463,829.50
  6. Step 6: Final answer
    x = 3,717,682,784.58

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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.