Finding the Third Proportional to 597 and 643.50
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Solution
The third proportional to 597 and 643.50 is: 693.62
Step by Step Solution
- Step 1: Write the proportion equation
597 : 643.50 = 643.50 : x - Step 2: Convert to fraction form
597/643.50 = 643.50/x - Step 3: Cross multiply
597x = 643.50 × 643.50 - Step 4: Simplify right side
597x = 414,092.25 - Step 5: Solve for x
x = 414,092.25/597 - Step 6: Final answer
x = 693.62
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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.