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Finding the Third Proportional to 657,152 and 988,644

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Solution

The third proportional to 657,152 and 988,644 is: 1,487,352.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,152 : 988,644 = 988,644 : x
  2. Step 2: Convert to fraction form
    657,152/988,644 = 988,644/x
  3. Step 3: Cross multiply
    657,152x = 988,644 × 988,644
  4. Step 4: Simplify right side
    657,152x = 977,416,958,736
  5. Step 5: Solve for x
    x = 977,416,958,736/657,152
  6. Step 6: Final answer
    x = 1,487,352.94

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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.