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Finding the Third Proportional to 821,064 and 1,307,490

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Solution

The third proportional to 821,064 and 1,307,490 is: 2,082,091.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,064 : 1,307,490 = 1,307,490 : x
  2. Step 2: Convert to fraction form
    821,064/1,307,490 = 1,307,490/x
  3. Step 3: Cross multiply
    821,064x = 1,307,490 × 1,307,490
  4. Step 4: Simplify right side
    821,064x = 1,709,530,100,100
  5. Step 5: Solve for x
    x = 1,709,530,100,100/821,064
  6. Step 6: Final answer
    x = 2,082,091.16

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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.