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Finding the Third Proportional to 851,823 and 1,821,829.50

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Solution

The third proportional to 851,823 and 1,821,829.50 is: 3,896,423.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,823 : 1,821,829.50 = 1,821,829.50 : x
  2. Step 2: Convert to fraction form
    851,823/1,821,829.50 = 1,821,829.50/x
  3. Step 3: Cross multiply
    851,823x = 1,821,829.50 × 1,821,829.50
  4. Step 4: Simplify right side
    851,823x = 3,319,062,727,070.25
  5. Step 5: Solve for x
    x = 3,319,062,727,070.25/851,823
  6. Step 6: Final answer
    x = 3,896,423.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.