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Finding the Third Proportional to 821,072 and 1,307,502

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Solution

The third proportional to 821,072 and 1,307,502 is: 2,082,109.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,072 : 1,307,502 = 1,307,502 : x
  2. Step 2: Convert to fraction form
    821,072/1,307,502 = 1,307,502/x
  3. Step 3: Cross multiply
    821,072x = 1,307,502 × 1,307,502
  4. Step 4: Simplify right side
    821,072x = 1,709,561,480,004
  5. Step 5: Solve for x
    x = 1,709,561,480,004/821,072
  6. Step 6: Final answer
    x = 2,082,109.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.