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Finding the Third Proportional to 657,700 and 986,638

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Solution

The third proportional to 657,700 and 986,638 is: 1,480,089.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,700 : 986,638 = 986,638 : x
  2. Step 2: Convert to fraction form
    657,700/986,638 = 986,638/x
  3. Step 3: Cross multiply
    657,700x = 986,638 × 986,638
  4. Step 4: Simplify right side
    657,700x = 973,454,543,044
  5. Step 5: Solve for x
    x = 973,454,543,044/657,700
  6. Step 6: Final answer
    x = 1,480,089.01

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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.