Finding the Third Proportional to 310,549.50 and 470,484
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Solution
The third proportional to 310,549.50 and 470,484 is: 712,785.54
Step by Step Solution
- Step 1: Write the proportion equation
310,549.50 : 470,484 = 470,484 : x - Step 2: Convert to fraction form
310,549.50/470,484 = 470,484/x - Step 3: Cross multiply
310,549.50x = 470,484 × 470,484 - Step 4: Simplify right side
310,549.50x = 221,355,194,256 - Step 5: Solve for x
x = 221,355,194,256/310,549.50 - Step 6: Final answer
x = 712,785.54
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.