Finding the Third Proportional to 215,173,030,174.50 and 470,880,128,306
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Solution
The third proportional to 215,173,030,174.50 and 470,880,128,306 is: 1,030,464,157,397.70
Step by Step Solution
- Step 1: Write the proportion equation
215,173,030,174.50 : 470,880,128,306 = 470,880,128,306 : x - Step 2: Convert to fraction form
215,173,030,174.50/470,880,128,306 = 470,880,128,306/x - Step 3: Cross multiply
215,173,030,174.50x = 470,880,128,306 × 470,880,128,306 - Step 4: Simplify right side
215,173,030,174.50x = 221,728,095,233,475,023,470,592 - Step 5: Solve for x
x = 221,728,095,233,475,023,470,592/215,173,030,174.50 - Step 6: Final answer
x = 1,030,464,157,397.70
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.