Finding the Third Proportional to 306,263,706 and 470,749,311
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Solution
The third proportional to 306,263,706 and 470,749,311 is: 723,575,498.71
Step by Step Solution
- Step 1: Write the proportion equation
306,263,706 : 470,749,311 = 470,749,311 : x - Step 2: Convert to fraction form
306,263,706/470,749,311 = 470,749,311/x - Step 3: Cross multiply
306,263,706x = 470,749,311 × 470,749,311 - Step 4: Simplify right side
306,263,706x = 221,604,913,806,974,720 - Step 5: Solve for x
x = 221,604,913,806,974,720/306,263,706 - Step 6: Final answer
x = 723,575,498.71
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.