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Finding the Third Proportional to 457,070 and 990,410

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Solution

The third proportional to 457,070 and 990,410 is: 2,146,086.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,070 : 990,410 = 990,410 : x
  2. Step 2: Convert to fraction form
    457,070/990,410 = 990,410/x
  3. Step 3: Cross multiply
    457,070x = 990,410 × 990,410
  4. Step 4: Simplify right side
    457,070x = 980,911,968,100
  5. Step 5: Solve for x
    x = 980,911,968,100/457,070
  6. Step 6: Final answer
    x = 2,146,086.96

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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.