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Finding the Third Proportional to 677,460 and 990,750

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Solution

The third proportional to 677,460 and 990,750 is: 1,448,920.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,460 : 990,750 = 990,750 : x
  2. Step 2: Convert to fraction form
    677,460/990,750 = 990,750/x
  3. Step 3: Cross multiply
    677,460x = 990,750 × 990,750
  4. Step 4: Simplify right side
    677,460x = 981,585,562,500
  5. Step 5: Solve for x
    x = 981,585,562,500/677,460
  6. Step 6: Final answer
    x = 1,448,920.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.