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Finding the Third Proportional to 784,642 and 1,663,457

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Solution

The third proportional to 784,642 and 1,663,457 is: 3,526,562.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,642 : 1,663,457 = 1,663,457 : x
  2. Step 2: Convert to fraction form
    784,642/1,663,457 = 1,663,457/x
  3. Step 3: Cross multiply
    784,642x = 1,663,457 × 1,663,457
  4. Step 4: Simplify right side
    784,642x = 2,767,089,190,849
  5. Step 5: Solve for x
    x = 2,767,089,190,849/784,642
  6. Step 6: Final answer
    x = 3,526,562.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.