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Finding the Third Proportional to 55,452,033 and 123,654,235.50

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Solution

The third proportional to 55,452,033 and 123,654,235.50 is: 275,740,475.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,452,033 : 123,654,235.50 = 123,654,235.50 : x
  2. Step 2: Convert to fraction form
    55,452,033/123,654,235.50 = 123,654,235.50/x
  3. Step 3: Cross multiply
    55,452,033x = 123,654,235.50 × 123,654,235.50
  4. Step 4: Simplify right side
    55,452,033x = 15,290,369,957,089,460
  5. Step 5: Solve for x
    x = 15,290,369,957,089,460/55,452,033
  6. Step 6: Final answer
    x = 275,740,475.68

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.