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Finding the Third Proportional to 748,644 and 1,121,679

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Solution

The third proportional to 748,644 and 1,121,679 is: 1,680,590.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,644 : 1,121,679 = 1,121,679 : x
  2. Step 2: Convert to fraction form
    748,644/1,121,679 = 1,121,679/x
  3. Step 3: Cross multiply
    748,644x = 1,121,679 × 1,121,679
  4. Step 4: Simplify right side
    748,644x = 1,258,163,779,041
  5. Step 5: Solve for x
    x = 1,258,163,779,041/748,644
  6. Step 6: Final answer
    x = 1,680,590.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.