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Finding the Third Proportional to 840,662.30 and 1,338,307.31

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Solution

The third proportional to 840,662.30 and 1,338,307.31 is: 2,130,542.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,662.30 : 1,338,307.31 = 1,338,307.31 : x
  2. Step 2: Convert to fraction form
    840,662.30/1,338,307.31 = 1,338,307.31/x
  3. Step 3: Cross multiply
    840,662.30x = 1,338,307.31 × 1,338,307.31
  4. Step 4: Simplify right side
    840,662.30x = 1,791,066,462,690.97
  5. Step 5: Solve for x
    x = 1,791,066,462,690.97/840,662.30
  6. Step 6: Final answer
    x = 2,130,542.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.