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Finding the Third Proportional to 829,981.69 and 1,215,448.03

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Solution

The third proportional to 829,981.69 and 1,215,448.03 is: 1,779,935.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,981.69 : 1,215,448.03 = 1,215,448.03 : x
  2. Step 2: Convert to fraction form
    829,981.69/1,215,448.03 = 1,215,448.03/x
  3. Step 3: Cross multiply
    829,981.69x = 1,215,448.03 × 1,215,448.03
  4. Step 4: Simplify right side
    829,981.69x = 1,477,313,916,669.50
  5. Step 5: Solve for x
    x = 1,477,313,916,669.50/829,981.69
  6. Step 6: Final answer
    x = 1,779,935.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.