Finding the Third Proportional to 611,526 and 830,433
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Solution
The third proportional to 611,526 and 830,433 is: 1,127,701.79
Step by Step Solution
- Step 1: Write the proportion equation
611,526 : 830,433 = 830,433 : x - Step 2: Convert to fraction form
611,526/830,433 = 830,433/x - Step 3: Cross multiply
611,526x = 830,433 × 830,433 - Step 4: Simplify right side
611,526x = 689,618,967,489 - Step 5: Solve for x
x = 689,618,967,489/611,526 - Step 6: Final answer
x = 1,127,701.79
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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.