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Finding the Third Proportional to 499,166,815.50 and 778,968,832.50

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Solution

The third proportional to 499,166,815.50 and 778,968,832.50 is: 1,215,610,539.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,166,815.50 : 778,968,832.50 = 778,968,832.50 : x
  2. Step 2: Convert to fraction form
    499,166,815.50/778,968,832.50 = 778,968,832.50/x
  3. Step 3: Cross multiply
    499,166,815.50x = 778,968,832.50 × 778,968,832.50
  4. Step 4: Simplify right side
    499,166,815.50x = 606,792,442,006,413,056
  5. Step 5: Solve for x
    x = 606,792,442,006,413,056/499,166,815.50
  6. Step 6: Final answer
    x = 1,215,610,539.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.