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Finding the Third Proportional to 312,402,152.53 and 650,661,648.19

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Solution

The third proportional to 312,402,152.53 and 650,661,648.19 is: 1,355,178,179.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,402,152.53 : 650,661,648.19 = 650,661,648.19 : x
  2. Step 2: Convert to fraction form
    312,402,152.53/650,661,648.19 = 650,661,648.19/x
  3. Step 3: Cross multiply
    312,402,152.53x = 650,661,648.19 × 650,661,648.19
  4. Step 4: Simplify right side
    312,402,152.53x = 423,360,580,422,074,048
  5. Step 5: Solve for x
    x = 423,360,580,422,074,048/312,402,152.53
  6. Step 6: Final answer
    x = 1,355,178,179.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.