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Finding the Third Proportional to 480,922,166 and 1,050,388,294

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Solution

The third proportional to 480,922,166 and 1,050,388,294 is: 2,294,166,595.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,922,166 : 1,050,388,294 = 1,050,388,294 : x
  2. Step 2: Convert to fraction form
    480,922,166/1,050,388,294 = 1,050,388,294/x
  3. Step 3: Cross multiply
    480,922,166x = 1,050,388,294 × 1,050,388,294
  4. Step 4: Simplify right side
    480,922,166x = 1,103,315,568,172,230,400
  5. Step 5: Solve for x
    x = 1,103,315,568,172,230,400/480,922,166
  6. Step 6: Final answer
    x = 2,294,166,595.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.