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Finding the Third Proportional to 845,888 and 1,245,464

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Solution

The third proportional to 845,888 and 1,245,464 is: 1,833,789.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,888 : 1,245,464 = 1,245,464 : x
  2. Step 2: Convert to fraction form
    845,888/1,245,464 = 1,245,464/x
  3. Step 3: Cross multiply
    845,888x = 1,245,464 × 1,245,464
  4. Step 4: Simplify right side
    845,888x = 1,551,180,575,296
  5. Step 5: Solve for x
    x = 1,551,180,575,296/845,888
  6. Step 6: Final answer
    x = 1,833,789.55

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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.