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Finding the Third Proportional to 510,158.25 and 1,112,160.38

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Solution

The third proportional to 510,158.25 and 1,112,160.38 is: 2,424,543.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,158.25 : 1,112,160.38 = 1,112,160.38 : x
  2. Step 2: Convert to fraction form
    510,158.25/1,112,160.38 = 1,112,160.38/x
  3. Step 3: Cross multiply
    510,158.25x = 1,112,160.38 × 1,112,160.38
  4. Step 4: Simplify right side
    510,158.25x = 1,236,900,699,720.14
  5. Step 5: Solve for x
    x = 1,236,900,699,720.14/510,158.25
  6. Step 6: Final answer
    x = 2,424,543.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.