Finding the Third Proportional to 842,475 and 1,827,942
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Solution
The third proportional to 842,475 and 1,827,942 is: 3,966,137.81
Step by Step Solution
- Step 1: Write the proportion equation
842,475 : 1,827,942 = 1,827,942 : x - Step 2: Convert to fraction form
842,475/1,827,942 = 1,827,942/x - Step 3: Cross multiply
842,475x = 1,827,942 × 1,827,942 - Step 4: Simplify right side
842,475x = 3,341,371,955,364 - Step 5: Solve for x
x = 3,341,371,955,364/842,475 - Step 6: Final answer
x = 3,966,137.81
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.