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Finding the Third Proportional to 653,561.16 and 990,122.48

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Solution

The third proportional to 653,561.16 and 990,122.48 is: 1,500,001.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,561.16 : 990,122.48 = 990,122.48 : x
  2. Step 2: Convert to fraction form
    653,561.16/990,122.48 = 990,122.48/x
  3. Step 3: Cross multiply
    653,561.16x = 990,122.48 × 990,122.48
  4. Step 4: Simplify right side
    653,561.16x = 980,342,534,064.92
  5. Step 5: Solve for x
    x = 980,342,534,064.92/653,561.16
  6. Step 6: Final answer
    x = 1,500,001.22

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