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Finding the Third Proportional to 873,213 and 1,908,723

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Solution

The third proportional to 873,213 and 1,908,723 is: 4,172,204.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,213 : 1,908,723 = 1,908,723 : x
  2. Step 2: Convert to fraction form
    873,213/1,908,723 = 1,908,723/x
  3. Step 3: Cross multiply
    873,213x = 1,908,723 × 1,908,723
  4. Step 4: Simplify right side
    873,213x = 3,643,223,490,729
  5. Step 5: Solve for x
    x = 3,643,223,490,729/873,213
  6. Step 6: Final answer
    x = 4,172,204.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.