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Finding the Third Proportional to 77,487,354,050 and 120,310,723,086

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Solution

The third proportional to 77,487,354,050 and 120,310,723,086 is: 186,800,417,525.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,487,354,050 : 120,310,723,086 = 120,310,723,086 : x
  2. Step 2: Convert to fraction form
    77,487,354,050/120,310,723,086 = 120,310,723,086/x
  3. Step 3: Cross multiply
    77,487,354,050x = 120,310,723,086 × 120,310,723,086
  4. Step 4: Simplify right side
    77,487,354,050x = 14,474,670,089,476,174,249,984
  5. Step 5: Solve for x
    x = 14,474,670,089,476,174,249,984/77,487,354,050
  6. Step 6: Final answer
    x = 186,800,417,525.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.