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Finding the Third Proportional to 551,928 and 1,209,840

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Solution

The third proportional to 551,928 and 1,209,840 is: 2,651,999.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,928 : 1,209,840 = 1,209,840 : x
  2. Step 2: Convert to fraction form
    551,928/1,209,840 = 1,209,840/x
  3. Step 3: Cross multiply
    551,928x = 1,209,840 × 1,209,840
  4. Step 4: Simplify right side
    551,928x = 1,463,712,825,600
  5. Step 5: Solve for x
    x = 1,463,712,825,600/551,928
  6. Step 6: Final answer
    x = 2,651,999.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.