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Finding the Third Proportional to 7,692,878 and 12,181,475

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Solution

The third proportional to 7,692,878 and 12,181,475 is: 19,289,053.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692,878 : 12,181,475 = 12,181,475 : x
  2. Step 2: Convert to fraction form
    7,692,878/12,181,475 = 12,181,475/x
  3. Step 3: Cross multiply
    7,692,878x = 12,181,475 × 12,181,475
  4. Step 4: Simplify right side
    7,692,878x = 148,388,333,175,625
  5. Step 5: Solve for x
    x = 148,388,333,175,625/7,692,878
  6. Step 6: Final answer
    x = 19,289,053.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.