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Finding the Third Proportional to 393,030 and 842,139

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Solution

The third proportional to 393,030 and 842,139 is: 1,804,437.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,030 : 842,139 = 842,139 : x
  2. Step 2: Convert to fraction form
    393,030/842,139 = 842,139/x
  3. Step 3: Cross multiply
    393,030x = 842,139 × 842,139
  4. Step 4: Simplify right side
    393,030x = 709,198,095,321
  5. Step 5: Solve for x
    x = 709,198,095,321/393,030
  6. Step 6: Final answer
    x = 1,804,437.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.