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Finding the Third Proportional to 538,938 and 845,431.50

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Solution

The third proportional to 538,938 and 845,431.50 is: 1,326,227.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,938 : 845,431.50 = 845,431.50 : x
  2. Step 2: Convert to fraction form
    538,938/845,431.50 = 845,431.50/x
  3. Step 3: Cross multiply
    538,938x = 845,431.50 × 845,431.50
  4. Step 4: Simplify right side
    538,938x = 714,754,421,192.25
  5. Step 5: Solve for x
    x = 714,754,421,192.25/538,938
  6. Step 6: Final answer
    x = 1,326,227.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.