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Finding the Third Proportional to 10,920,103.50 and 23,514,639

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Solution

The third proportional to 10,920,103.50 and 23,514,639 is: 50,634,890.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920,103.50 : 23,514,639 = 23,514,639 : x
  2. Step 2: Convert to fraction form
    10,920,103.50/23,514,639 = 23,514,639/x
  3. Step 3: Cross multiply
    10,920,103.50x = 23,514,639 × 23,514,639
  4. Step 4: Simplify right side
    10,920,103.50x = 552,938,247,300,321
  5. Step 5: Solve for x
    x = 552,938,247,300,321/10,920,103.50
  6. Step 6: Final answer
    x = 50,634,890.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.