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Finding the Third Proportional to 341,633.25 and 790,894.50

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Solution

The third proportional to 341,633.25 and 790,894.50 is: 1,830,952.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,633.25 : 790,894.50 = 790,894.50 : x
  2. Step 2: Convert to fraction form
    341,633.25/790,894.50 = 790,894.50/x
  3. Step 3: Cross multiply
    341,633.25x = 790,894.50 × 790,894.50
  4. Step 4: Simplify right side
    341,633.25x = 625,514,110,130.25
  5. Step 5: Solve for x
    x = 625,514,110,130.25/341,633.25
  6. Step 6: Final answer
    x = 1,830,952.08

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.