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Finding the Third Proportional to 460,205 and 988,720

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Solution

The third proportional to 460,205 and 988,720 is: 2,124,199.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,205 : 988,720 = 988,720 : x
  2. Step 2: Convert to fraction form
    460,205/988,720 = 988,720/x
  3. Step 3: Cross multiply
    460,205x = 988,720 × 988,720
  4. Step 4: Simplify right side
    460,205x = 977,567,238,400
  5. Step 5: Solve for x
    x = 977,567,238,400/460,205
  6. Step 6: Final answer
    x = 2,124,199.52

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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.