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Finding the Third Proportional to 456,899 and 990,070

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Solution

The third proportional to 456,899 and 990,070 is: 2,145,416.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,899 : 990,070 = 990,070 : x
  2. Step 2: Convert to fraction form
    456,899/990,070 = 990,070/x
  3. Step 3: Cross multiply
    456,899x = 990,070 × 990,070
  4. Step 4: Simplify right side
    456,899x = 980,238,604,900
  5. Step 5: Solve for x
    x = 980,238,604,900/456,899
  6. Step 6: Final answer
    x = 2,145,416.39

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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.