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Finding the Third Proportional to 511,931.25 and 1,117,174.50

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Solution

The third proportional to 511,931.25 and 1,117,174.50 is: 2,437,981.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,931.25 : 1,117,174.50 = 1,117,174.50 : x
  2. Step 2: Convert to fraction form
    511,931.25/1,117,174.50 = 1,117,174.50/x
  3. Step 3: Cross multiply
    511,931.25x = 1,117,174.50 × 1,117,174.50
  4. Step 4: Simplify right side
    511,931.25x = 1,248,078,863,450.25
  5. Step 5: Solve for x
    x = 1,248,078,863,450.25/511,931.25
  6. Step 6: Final answer
    x = 2,437,981.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.