Finding the Third Proportional to 249,440,190,098 and 512,103,931,332
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Solution
The third proportional to 249,440,190,098 and 512,103,931,332 is: 1,051,355,983,904.02
Step by Step Solution
- Step 1: Write the proportion equation
249,440,190,098 : 512,103,931,332 = 512,103,931,332 : x - Step 2: Convert to fraction form
249,440,190,098/512,103,931,332 = 512,103,931,332/x - Step 3: Cross multiply
249,440,190,098x = 512,103,931,332 × 512,103,931,332 - Step 4: Simplify right side
249,440,190,098x = 262,250,436,485,689,775,226,880 - Step 5: Solve for x
x = 262,250,436,485,689,775,226,880/249,440,190,098 - Step 6: Final answer
x = 1,051,355,983,904.02
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.