Finding the Third Proportional to 256,338,778 and 397,174,119
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Solution
The third proportional to 256,338,778 and 397,174,119 is: 615,385,943.69
Step by Step Solution
- Step 1: Write the proportion equation
256,338,778 : 397,174,119 = 397,174,119 : x - Step 2: Convert to fraction form
256,338,778/397,174,119 = 397,174,119/x - Step 3: Cross multiply
256,338,778x = 397,174,119 × 397,174,119 - Step 4: Simplify right side
256,338,778x = 157,747,280,803,426,176 - Step 5: Solve for x
x = 157,747,280,803,426,176/256,338,778 - Step 6: Final answer
x = 615,385,943.69
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.