Finding the Third Proportional to 323,346 and 705,428
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Solution
The third proportional to 323,346 and 705,428 is: 1,538,997.43
Step by Step Solution
- Step 1: Write the proportion equation
323,346 : 705,428 = 705,428 : x - Step 2: Convert to fraction form
323,346/705,428 = 705,428/x - Step 3: Cross multiply
323,346x = 705,428 × 705,428 - Step 4: Simplify right side
323,346x = 497,628,663,184 - Step 5: Solve for x
x = 497,628,663,184/323,346 - Step 6: Final answer
x = 1,538,997.43
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.