Finding the Third Proportional to 380,712,660 and 513,670,764
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Solution
The third proportional to 380,712,660 and 513,670,764 is: 693,062,462.88
Step by Step Solution
- Step 1: Write the proportion equation
380,712,660 : 513,670,764 = 513,670,764 : x - Step 2: Convert to fraction form
380,712,660/513,670,764 = 513,670,764/x - Step 3: Cross multiply
380,712,660x = 513,670,764 × 513,670,764 - Step 4: Simplify right side
380,712,660x = 263,857,653,788,343,680 - Step 5: Solve for x
x = 263,857,653,788,343,680/380,712,660 - Step 6: Final answer
x = 693,062,462.88
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.