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Finding the Third Proportional to 13,835,475 and 20,395,516.50

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Solution

The third proportional to 13,835,475 and 20,395,516.50 is: 30,065,978.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,835,475 : 20,395,516.50 = 20,395,516.50 : x
  2. Step 2: Convert to fraction form
    13,835,475/20,395,516.50 = 20,395,516.50/x
  3. Step 3: Cross multiply
    13,835,475x = 20,395,516.50 × 20,395,516.50
  4. Step 4: Simplify right side
    13,835,475x = 415,977,093,301,772.25
  5. Step 5: Solve for x
    x = 415,977,093,301,772.25/13,835,475
  6. Step 6: Final answer
    x = 30,065,978.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.