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Finding the Third Proportional to 830,037.75 and 1,221,321

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Solution

The third proportional to 830,037.75 and 1,221,321 is: 1,797,056.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,037.75 : 1,221,321 = 1,221,321 : x
  2. Step 2: Convert to fraction form
    830,037.75/1,221,321 = 1,221,321/x
  3. Step 3: Cross multiply
    830,037.75x = 1,221,321 × 1,221,321
  4. Step 4: Simplify right side
    830,037.75x = 1,491,624,985,041
  5. Step 5: Solve for x
    x = 1,491,624,985,041/830,037.75
  6. Step 6: Final answer
    x = 1,797,056.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.