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Finding the Third Proportional to 615,800 and 980,621

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Solution

The third proportional to 615,800 and 980,621 is: 1,561,574.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,800 : 980,621 = 980,621 : x
  2. Step 2: Convert to fraction form
    615,800/980,621 = 980,621/x
  3. Step 3: Cross multiply
    615,800x = 980,621 × 980,621
  4. Step 4: Simplify right side
    615,800x = 961,617,545,641
  5. Step 5: Solve for x
    x = 961,617,545,641/615,800
  6. Step 6: Final answer
    x = 1,561,574.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.