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Finding the Third Proportional to 480,100 and 1,034,557

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Solution

The third proportional to 480,100 and 1,034,557 is: 2,229,344.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,100 : 1,034,557 = 1,034,557 : x
  2. Step 2: Convert to fraction form
    480,100/1,034,557 = 1,034,557/x
  3. Step 3: Cross multiply
    480,100x = 1,034,557 × 1,034,557
  4. Step 4: Simplify right side
    480,100x = 1,070,308,186,249
  5. Step 5: Solve for x
    x = 1,070,308,186,249/480,100
  6. Step 6: Final answer
    x = 2,229,344.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.