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Finding the Third Proportional to 5,804,622 and 13,554,742.50

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Solution

The third proportional to 5,804,622 and 13,554,742.50 is: 31,652,542.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804,622 : 13,554,742.50 = 13,554,742.50 : x
  2. Step 2: Convert to fraction form
    5,804,622/13,554,742.50 = 13,554,742.50/x
  3. Step 3: Cross multiply
    5,804,622x = 13,554,742.50 × 13,554,742.50
  4. Step 4: Simplify right side
    5,804,622x = 183,731,044,241,306.25
  5. Step 5: Solve for x
    x = 183,731,044,241,306.25/5,804,622
  6. Step 6: Final answer
    x = 31,652,542.45

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.