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Finding the Third Proportional to 153,407,620 and 329,583,368

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Solution

The third proportional to 153,407,620 and 329,583,368 is: 708,082,143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,407,620 : 329,583,368 = 329,583,368 : x
  2. Step 2: Convert to fraction form
    153,407,620/329,583,368 = 329,583,368/x
  3. Step 3: Cross multiply
    153,407,620x = 329,583,368 × 329,583,368
  4. Step 4: Simplify right side
    153,407,620x = 108,625,196,462,223,424
  5. Step 5: Solve for x
    x = 108,625,196,462,223,424/153,407,620
  6. Step 6: Final answer
    x = 708,082,143.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.