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Finding the Third Proportional to 306,987,491 and 472,338,017

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Solution

The third proportional to 306,987,491 and 472,338,017 is: 726,750,140.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,987,491 : 472,338,017 = 472,338,017 : x
  2. Step 2: Convert to fraction form
    306,987,491/472,338,017 = 472,338,017/x
  3. Step 3: Cross multiply
    306,987,491x = 472,338,017 × 472,338,017
  4. Step 4: Simplify right side
    306,987,491x = 223,103,202,303,492,288
  5. Step 5: Solve for x
    x = 223,103,202,303,492,288/306,987,491
  6. Step 6: Final answer
    x = 726,750,140.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.