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Finding the Third Proportional to 743,126 and 1,034,013

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Solution

The third proportional to 743,126 and 1,034,013 is: 1,438,763.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,126 : 1,034,013 = 1,034,013 : x
  2. Step 2: Convert to fraction form
    743,126/1,034,013 = 1,034,013/x
  3. Step 3: Cross multiply
    743,126x = 1,034,013 × 1,034,013
  4. Step 4: Simplify right side
    743,126x = 1,069,182,884,169
  5. Step 5: Solve for x
    x = 1,069,182,884,169/743,126
  6. Step 6: Final answer
    x = 1,438,763.93

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.