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Finding the Third Proportional to 312,788,448 and 674,017,164

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Solution

The third proportional to 312,788,448 and 674,017,164 is: 1,452,416,610.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,788,448 : 674,017,164 = 674,017,164 : x
  2. Step 2: Convert to fraction form
    312,788,448/674,017,164 = 674,017,164/x
  3. Step 3: Cross multiply
    312,788,448x = 674,017,164 × 674,017,164
  4. Step 4: Simplify right side
    312,788,448x = 454,299,137,366,602,880
  5. Step 5: Solve for x
    x = 454,299,137,366,602,880/312,788,448
  6. Step 6: Final answer
    x = 1,452,416,610.24

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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.