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Finding the Third Proportional to 358,030.13 and 779,969.25

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Solution

The third proportional to 358,030.13 and 779,969.25 is: 1,699,164.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,030.13 : 779,969.25 = 779,969.25 : x
  2. Step 2: Convert to fraction form
    358,030.13/779,969.25 = 779,969.25/x
  3. Step 3: Cross multiply
    358,030.13x = 779,969.25 × 779,969.25
  4. Step 4: Simplify right side
    358,030.13x = 608,352,030,945.56
  5. Step 5: Solve for x
    x = 608,352,030,945.56/358,030.13
  6. Step 6: Final answer
    x = 1,699,164.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.