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Finding the Third Proportional to 819,008 and 1,239,968

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Solution

The third proportional to 819,008 and 1,239,968 is: 1,877,296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,008 : 1,239,968 = 1,239,968 : x
  2. Step 2: Convert to fraction form
    819,008/1,239,968 = 1,239,968/x
  3. Step 3: Cross multiply
    819,008x = 1,239,968 × 1,239,968
  4. Step 4: Simplify right side
    819,008x = 1,537,520,641,024
  5. Step 5: Solve for x
    x = 1,537,520,641,024/819,008
  6. Step 6: Final answer
    x = 1,877,296.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.