Finding the Third Proportional to 34,730 and 74,484
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Solution
The third proportional to 34,730 and 74,484 is: 159,742.77
Step by Step Solution
- Step 1: Write the proportion equation
34,730 : 74,484 = 74,484 : x - Step 2: Convert to fraction form
34,730/74,484 = 74,484/x - Step 3: Cross multiply
34,730x = 74,484 × 74,484 - Step 4: Simplify right side
34,730x = 5,547,866,256 - Step 5: Solve for x
x = 5,547,866,256/34,730 - Step 6: Final answer
x = 159,742.77
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.