Finding the Third Proportional to 407,409,869.25 and 646,177,281.75
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Solution
The third proportional to 407,409,869.25 and 646,177,281.75 is: 1,024,877,183.80
Step by Step Solution
- Step 1: Write the proportion equation
407,409,869.25 : 646,177,281.75 = 646,177,281.75 : x - Step 2: Convert to fraction form
407,409,869.25/646,177,281.75 = 646,177,281.75/x - Step 3: Cross multiply
407,409,869.25x = 646,177,281.75 × 646,177,281.75 - Step 4: Simplify right side
407,409,869.25x = 417,545,079,449,818,880 - Step 5: Solve for x
x = 417,545,079,449,818,880/407,409,869.25 - Step 6: Final answer
x = 1,024,877,183.80
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.