Finding the Third Proportional to 277,654,849,308 and 390,999,211,760
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Solution
The third proportional to 277,654,849,308 and 390,999,211,760 is: 550,613,050,620.10
Step by Step Solution
- Step 1: Write the proportion equation
277,654,849,308 : 390,999,211,760 = 390,999,211,760 : x - Step 2: Convert to fraction form
277,654,849,308/390,999,211,760 = 390,999,211,760/x - Step 3: Cross multiply
277,654,849,308x = 390,999,211,760 × 390,999,211,760 - Step 4: Simplify right side
277,654,849,308x = 152,880,383,596,941,335,855,104 - Step 5: Solve for x
x = 152,880,383,596,941,335,855,104/277,654,849,308 - Step 6: Final answer
x = 550,613,050,620.10
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.