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Finding the Third Proportional to 920,052 and 1,436,020

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Solution

The third proportional to 920,052 and 1,436,020 is: 2,241,344.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,052 : 1,436,020 = 1,436,020 : x
  2. Step 2: Convert to fraction form
    920,052/1,436,020 = 1,436,020/x
  3. Step 3: Cross multiply
    920,052x = 1,436,020 × 1,436,020
  4. Step 4: Simplify right side
    920,052x = 2,062,153,440,400
  5. Step 5: Solve for x
    x = 2,062,153,440,400/920,052
  6. Step 6: Final answer
    x = 2,241,344.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.