Finding the Third Proportional to 509,703.75 and 714,489.75
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Solution
The third proportional to 509,703.75 and 714,489.75 is: 1,001,553.56
Step by Step Solution
- Step 1: Write the proportion equation
509,703.75 : 714,489.75 = 714,489.75 : x - Step 2: Convert to fraction form
509,703.75/714,489.75 = 714,489.75/x - Step 3: Cross multiply
509,703.75x = 714,489.75 × 714,489.75 - Step 4: Simplify right side
509,703.75x = 510,495,602,855.06 - Step 5: Solve for x
x = 510,495,602,855.06/509,703.75 - Step 6: Final answer
x = 1,001,553.56
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.