Finding the Third Proportional to 314,984,420 and 493,120,998
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Solution
The third proportional to 314,984,420 and 493,120,998 is: 772,001,099.83
Step by Step Solution
- Step 1: Write the proportion equation
314,984,420 : 493,120,998 = 493,120,998 : x - Step 2: Convert to fraction form
314,984,420/493,120,998 = 493,120,998/x - Step 3: Cross multiply
314,984,420x = 493,120,998 × 493,120,998 - Step 4: Simplify right side
314,984,420x = 243,168,318,668,516,000 - Step 5: Solve for x
x = 243,168,318,668,516,000/314,984,420 - Step 6: Final answer
x = 772,001,099.83
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.