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Finding the Third Proportional to 550,271 and 830,955

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Solution

The third proportional to 550,271 and 830,955 is: 1,254,811.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,271 : 830,955 = 830,955 : x
  2. Step 2: Convert to fraction form
    550,271/830,955 = 830,955/x
  3. Step 3: Cross multiply
    550,271x = 830,955 × 830,955
  4. Step 4: Simplify right side
    550,271x = 690,486,212,025
  5. Step 5: Solve for x
    x = 690,486,212,025/550,271
  6. Step 6: Final answer
    x = 1,254,811.20

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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.