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Finding the Third Proportional to 657,544.50 and 990,661.50

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Solution

The third proportional to 657,544.50 and 990,661.50 is: 1,492,538.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,544.50 : 990,661.50 = 990,661.50 : x
  2. Step 2: Convert to fraction form
    657,544.50/990,661.50 = 990,661.50/x
  3. Step 3: Cross multiply
    657,544.50x = 990,661.50 × 990,661.50
  4. Step 4: Simplify right side
    657,544.50x = 981,410,207,582.25
  5. Step 5: Solve for x
    x = 981,410,207,582.25/657,544.50
  6. Step 6: Final answer
    x = 1,492,538.08

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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.