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Finding the Third Proportional to 457,047 and 990,362

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Solution

The third proportional to 457,047 and 990,362 is: 2,145,986.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,047 : 990,362 = 990,362 : x
  2. Step 2: Convert to fraction form
    457,047/990,362 = 990,362/x
  3. Step 3: Cross multiply
    457,047x = 990,362 × 990,362
  4. Step 4: Simplify right side
    457,047x = 980,816,891,044
  5. Step 5: Solve for x
    x = 980,816,891,044/457,047
  6. Step 6: Final answer
    x = 2,145,986.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.