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Finding the Third Proportional to 657,680 and 986,608

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Solution

The third proportional to 657,680 and 986,608 is: 1,480,044.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,680 : 986,608 = 986,608 : x
  2. Step 2: Convert to fraction form
    657,680/986,608 = 986,608/x
  3. Step 3: Cross multiply
    657,680x = 986,608 × 986,608
  4. Step 4: Simplify right side
    657,680x = 973,395,345,664
  5. Step 5: Solve for x
    x = 973,395,345,664/657,680
  6. Step 6: Final answer
    x = 1,480,044.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.