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Finding the Third Proportional to 455,838 and 988,937

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Solution

The third proportional to 455,838 and 988,937 is: 2,145,491.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,838 : 988,937 = 988,937 : x
  2. Step 2: Convert to fraction form
    455,838/988,937 = 988,937/x
  3. Step 3: Cross multiply
    455,838x = 988,937 × 988,937
  4. Step 4: Simplify right side
    455,838x = 977,996,389,969
  5. Step 5: Solve for x
    x = 977,996,389,969/455,838
  6. Step 6: Final answer
    x = 2,145,491.14

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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.