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Finding the Third Proportional to 457,045 and 990,358

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Solution

The third proportional to 457,045 and 990,358 is: 2,145,978.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,045 : 990,358 = 990,358 : x
  2. Step 2: Convert to fraction form
    457,045/990,358 = 990,358/x
  3. Step 3: Cross multiply
    457,045x = 990,358 × 990,358
  4. Step 4: Simplify right side
    457,045x = 980,808,968,164
  5. Step 5: Solve for x
    x = 980,808,968,164/457,045
  6. Step 6: Final answer
    x = 2,145,978.99

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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.