Finding the Third Proportional to 200,423.81 and 417,432.09
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Solution
The third proportional to 200,423.81 and 417,432.09 is: 869,405.44
Step by Step Solution
- Step 1: Write the proportion equation
200,423.81 : 417,432.09 = 417,432.09 : x - Step 2: Convert to fraction form
200,423.81/417,432.09 = 417,432.09/x - Step 3: Cross multiply
200,423.81x = 417,432.09 × 417,432.09 - Step 4: Simplify right side
200,423.81x = 174,249,552,892.51 - Step 5: Solve for x
x = 174,249,552,892.51/200,423.81 - Step 6: Final answer
x = 869,405.44
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.