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Finding the Third Proportional to 462,753 and 1,014,066

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Solution

The third proportional to 462,753 and 1,014,066 is: 2,222,200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,753 : 1,014,066 = 1,014,066 : x
  2. Step 2: Convert to fraction form
    462,753/1,014,066 = 1,014,066/x
  3. Step 3: Cross multiply
    462,753x = 1,014,066 × 1,014,066
  4. Step 4: Simplify right side
    462,753x = 1,028,329,852,356
  5. Step 5: Solve for x
    x = 1,028,329,852,356/462,753
  6. Step 6: Final answer
    x = 2,222,200.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.