Finding the Third Proportional to 424,733,926,158 and 910,050,731,010
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Solution
The third proportional to 424,733,926,158 and 910,050,731,010 is: 1,949,908,594,548.55
Step by Step Solution
- Step 1: Write the proportion equation
424,733,926,158 : 910,050,731,010 = 910,050,731,010 : x - Step 2: Convert to fraction form
424,733,926,158/910,050,731,010 = 910,050,731,010/x - Step 3: Cross multiply
424,733,926,158x = 910,050,731,010 × 910,050,731,010 - Step 4: Simplify right side
424,733,926,158x = 828,192,333,011,835,340,980,224 - Step 5: Solve for x
x = 828,192,333,011,835,340,980,224/424,733,926,158 - Step 6: Final answer
x = 1,949,908,594,548.55
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.