Finding the Third Proportional to 470,742 and 696,969
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Solution
The third proportional to 470,742 and 696,969 is: 1,031,915.12
Step by Step Solution
- Step 1: Write the proportion equation
470,742 : 696,969 = 696,969 : x - Step 2: Convert to fraction form
470,742/696,969 = 696,969/x - Step 3: Cross multiply
470,742x = 696,969 × 696,969 - Step 4: Simplify right side
470,742x = 485,765,786,961 - Step 5: Solve for x
x = 485,765,786,961/470,742 - Step 6: Final answer
x = 1,031,915.12
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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.