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Finding the Third Proportional to 801,326,700 and 1,740,597,241.50

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Solution

The third proportional to 801,326,700 and 1,740,597,241.50 is: 3,780,828,415.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,326,700 : 1,740,597,241.50 = 1,740,597,241.50 : x
  2. Step 2: Convert to fraction form
    801,326,700/1,740,597,241.50 = 1,740,597,241.50/x
  3. Step 3: Cross multiply
    801,326,700x = 1,740,597,241.50 × 1,740,597,241.50
  4. Step 4: Simplify right side
    801,326,700x = 3,029,678,757,117,409,280
  5. Step 5: Solve for x
    x = 3,029,678,757,117,409,280/801,326,700
  6. Step 6: Final answer
    x = 3,780,828,415.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.