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Finding the Third Proportional to 657,536 and 990,084

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Solution

The third proportional to 657,536 and 990,084 is: 1,490,817.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,536 : 990,084 = 990,084 : x
  2. Step 2: Convert to fraction form
    657,536/990,084 = 990,084/x
  3. Step 3: Cross multiply
    657,536x = 990,084 × 990,084
  4. Step 4: Simplify right side
    657,536x = 980,266,327,056
  5. Step 5: Solve for x
    x = 980,266,327,056/657,536
  6. Step 6: Final answer
    x = 1,490,817.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.