Finding the Third Proportional to 145,657,117.13 and 312,090,233.06
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Solution
The third proportional to 145,657,117.13 and 312,090,233.06 is: 668,695,876.28
Step by Step Solution
- Step 1: Write the proportion equation
145,657,117.13 : 312,090,233.06 = 312,090,233.06 : x - Step 2: Convert to fraction form
145,657,117.13/312,090,233.06 = 312,090,233.06/x - Step 3: Cross multiply
145,657,117.13x = 312,090,233.06 × 312,090,233.06 - Step 4: Simplify right side
145,657,117.13x = 97,400,313,573,005,568 - Step 5: Solve for x
x = 97,400,313,573,005,568/145,657,117.13 - Step 6: Final answer
x = 668,695,876.28
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.