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Finding the Third Proportional to 677,720 and 1,425,328

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Solution

The third proportional to 677,720 and 1,425,328 is: 2,997,639.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,720 : 1,425,328 = 1,425,328 : x
  2. Step 2: Convert to fraction form
    677,720/1,425,328 = 1,425,328/x
  3. Step 3: Cross multiply
    677,720x = 1,425,328 × 1,425,328
  4. Step 4: Simplify right side
    677,720x = 2,031,559,907,584
  5. Step 5: Solve for x
    x = 2,031,559,907,584/677,720
  6. Step 6: Final answer
    x = 2,997,639.01

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.