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Finding the Third Proportional to 788,580 and 1,115,823

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Solution

The third proportional to 788,580 and 1,115,823 is: 1,578,864.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,580 : 1,115,823 = 1,115,823 : x
  2. Step 2: Convert to fraction form
    788,580/1,115,823 = 1,115,823/x
  3. Step 3: Cross multiply
    788,580x = 1,115,823 × 1,115,823
  4. Step 4: Simplify right side
    788,580x = 1,245,060,967,329
  5. Step 5: Solve for x
    x = 1,245,060,967,329/788,580
  6. Step 6: Final answer
    x = 1,578,864.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.