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Finding the Third Proportional to 532,980 and 1,087,369.31

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Solution

The third proportional to 532,980 and 1,087,369.31 is: 2,218,417.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,980 : 1,087,369.31 = 1,087,369.31 : x
  2. Step 2: Convert to fraction form
    532,980/1,087,369.31 = 1,087,369.31/x
  3. Step 3: Cross multiply
    532,980x = 1,087,369.31 × 1,087,369.31
  4. Step 4: Simplify right side
    532,980x = 1,182,372,021,766.72
  5. Step 5: Solve for x
    x = 1,182,372,021,766.72/532,980
  6. Step 6: Final answer
    x = 2,218,417.24

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.