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Finding the Third Proportional to 480,127.50 and 1,034,685

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Solution

The third proportional to 480,127.50 and 1,034,685 is: 2,229,768.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,127.50 : 1,034,685 = 1,034,685 : x
  2. Step 2: Convert to fraction form
    480,127.50/1,034,685 = 1,034,685/x
  3. Step 3: Cross multiply
    480,127.50x = 1,034,685 × 1,034,685
  4. Step 4: Simplify right side
    480,127.50x = 1,070,573,049,225
  5. Step 5: Solve for x
    x = 1,070,573,049,225/480,127.50
  6. Step 6: Final answer
    x = 2,229,768.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.