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Finding the Third Proportional to 1,024,206 and 1,550,457

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Solution

The third proportional to 1,024,206 and 1,550,457 is: 2,347,102.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,206 : 1,550,457 = 1,550,457 : x
  2. Step 2: Convert to fraction form
    1,024,206/1,550,457 = 1,550,457/x
  3. Step 3: Cross multiply
    1,024,206x = 1,550,457 × 1,550,457
  4. Step 4: Simplify right side
    1,024,206x = 2,403,916,908,849
  5. Step 5: Solve for x
    x = 2,403,916,908,849/1,024,206
  6. Step 6: Final answer
    x = 2,347,102.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.