Finding the Third Proportional to 193,875,140,791 and 424,272,108,290
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Solution
The third proportional to 193,875,140,791 and 424,272,108,290 is: 928,467,781,575.42
Step by Step Solution
- Step 1: Write the proportion equation
193,875,140,791 : 424,272,108,290 = 424,272,108,290 : x - Step 2: Convert to fraction form
193,875,140,791/424,272,108,290 = 424,272,108,290/x - Step 3: Cross multiply
193,875,140,791x = 424,272,108,290 × 424,272,108,290 - Step 4: Simplify right side
193,875,140,791x = 180,006,821,872,841,483,354,112 - Step 5: Solve for x
x = 180,006,821,872,841,483,354,112/193,875,140,791 - Step 6: Final answer
x = 928,467,781,575.42
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.