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Finding the Third Proportional to 477,240 and 1,029,240

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Solution

The third proportional to 477,240 and 1,029,240 is: 2,219,711.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,240 : 1,029,240 = 1,029,240 : x
  2. Step 2: Convert to fraction form
    477,240/1,029,240 = 1,029,240/x
  3. Step 3: Cross multiply
    477,240x = 1,029,240 × 1,029,240
  4. Step 4: Simplify right side
    477,240x = 1,059,334,977,600
  5. Step 5: Solve for x
    x = 1,059,334,977,600/477,240
  6. Step 6: Final answer
    x = 2,219,711.21

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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.