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Finding the Third Proportional to 685,383,070.50 and 1,044,144,627.75

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Solution

The third proportional to 685,383,070.50 and 1,044,144,627.75 is: 1,590,698,764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,383,070.50 : 1,044,144,627.75 = 1,044,144,627.75 : x
  2. Step 2: Convert to fraction form
    685,383,070.50/1,044,144,627.75 = 1,044,144,627.75/x
  3. Step 3: Cross multiply
    685,383,070.50x = 1,044,144,627.75 × 1,044,144,627.75
  4. Step 4: Simplify right side
    685,383,070.50x = 1,090,238,003,659,186,048
  5. Step 5: Solve for x
    x = 1,090,238,003,659,186,048/685,383,070.50
  6. Step 6: Final answer
    x = 1,590,698,764.80

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.