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Finding the Third Proportional to 489,815.86 and 756,550.13

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Solution

The third proportional to 489,815.86 and 756,550.13 is: 1,168,537.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,815.86 : 756,550.13 = 756,550.13 : x
  2. Step 2: Convert to fraction form
    489,815.86/756,550.13 = 756,550.13/x
  3. Step 3: Cross multiply
    489,815.86x = 756,550.13 × 756,550.13
  4. Step 4: Simplify right side
    489,815.86x = 572,368,091,637.52
  5. Step 5: Solve for x
    x = 572,368,091,637.52/489,815.86
  6. Step 6: Final answer
    x = 1,168,537.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.