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Finding the Third Proportional to 1,020,934.13 and 1,290,216.09

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Solution

The third proportional to 1,020,934.13 and 1,290,216.09 is: 1,630,523.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,934.13 : 1,290,216.09 = 1,290,216.09 : x
  2. Step 2: Convert to fraction form
    1,020,934.13/1,290,216.09 = 1,290,216.09/x
  3. Step 3: Cross multiply
    1,020,934.13x = 1,290,216.09 × 1,290,216.09
  4. Step 4: Simplify right side
    1,020,934.13x = 1,664,657,568,571.51
  5. Step 5: Solve for x
    x = 1,664,657,568,571.51/1,020,934.13
  6. Step 6: Final answer
    x = 1,630,523.98

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.