Finding the Third Proportional to 97,520 and 145,642
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Solution
The third proportional to 97,520 and 145,642 is: 217,510.17
Step by Step Solution
- Step 1: Write the proportion equation
97,520 : 145,642 = 145,642 : x - Step 2: Convert to fraction form
97,520/145,642 = 145,642/x - Step 3: Cross multiply
97,520x = 145,642 × 145,642 - Step 4: Simplify right side
97,520x = 21,211,592,164 - Step 5: Solve for x
x = 21,211,592,164/97,520 - Step 6: Final answer
x = 217,510.17
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.