Finding the Third Proportional to 378,977,080 and 829,276,496
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Solution
The third proportional to 378,977,080 and 829,276,496 is: 1,814,620,311.12
Step by Step Solution
- Step 1: Write the proportion equation
378,977,080 : 829,276,496 = 829,276,496 : x - Step 2: Convert to fraction form
378,977,080/829,276,496 = 829,276,496/x - Step 3: Cross multiply
378,977,080x = 829,276,496 × 829,276,496 - Step 4: Simplify right side
378,977,080x = 687,699,506,818,038,016 - Step 5: Solve for x
x = 687,699,506,818,038,016/378,977,080 - Step 6: Final answer
x = 1,814,620,311.12
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.