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Finding the Third Proportional to 411,880 and 657,788

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Solution

The third proportional to 411,880 and 657,788 is: 1,050,512.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,880 : 657,788 = 657,788 : x
  2. Step 2: Convert to fraction form
    411,880/657,788 = 657,788/x
  3. Step 3: Cross multiply
    411,880x = 657,788 × 657,788
  4. Step 4: Simplify right side
    411,880x = 432,685,052,944
  5. Step 5: Solve for x
    x = 432,685,052,944/411,880
  6. Step 6: Final answer
    x = 1,050,512.41

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.