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Finding the Third Proportional to 554,979 and 830,205

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Solution

The third proportional to 554,979 and 830,205 is: 1,241,921.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,979 : 830,205 = 830,205 : x
  2. Step 2: Convert to fraction form
    554,979/830,205 = 830,205/x
  3. Step 3: Cross multiply
    554,979x = 830,205 × 830,205
  4. Step 4: Simplify right side
    554,979x = 689,240,342,025
  5. Step 5: Solve for x
    x = 689,240,342,025/554,979
  6. Step 6: Final answer
    x = 1,241,921.48

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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.