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Finding the Third Proportional to 820,427.63 and 1,772,307

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Solution

The third proportional to 820,427.63 and 1,772,307 is: 3,828,579.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,427.63 : 1,772,307 = 1,772,307 : x
  2. Step 2: Convert to fraction form
    820,427.63/1,772,307 = 1,772,307/x
  3. Step 3: Cross multiply
    820,427.63x = 1,772,307 × 1,772,307
  4. Step 4: Simplify right side
    820,427.63x = 3,141,072,102,249
  5. Step 5: Solve for x
    x = 3,141,072,102,249/820,427.63
  6. Step 6: Final answer
    x = 3,828,579.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.