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Finding the Third Proportional to 499,166,836.88 and 778,968,893.25

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Solution

The third proportional to 499,166,836.88 and 778,968,893.25 is: 1,215,610,677.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,166,836.88 : 778,968,893.25 = 778,968,893.25 : x
  2. Step 2: Convert to fraction form
    499,166,836.88/778,968,893.25 = 778,968,893.25/x
  3. Step 3: Cross multiply
    499,166,836.88x = 778,968,893.25 × 778,968,893.25
  4. Step 4: Simplify right side
    499,166,836.88x = 606,792,536,651,129,856
  5. Step 5: Solve for x
    x = 606,792,536,651,129,856/499,166,836.88
  6. Step 6: Final answer
    x = 1,215,610,677.28

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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.