Finding the Third Proportional to 423,220,948,612 and 913,767,152,648
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Solution
The third proportional to 423,220,948,612 and 913,767,152,648 is: 1,972,894,801,159.56
Step by Step Solution
- Step 1: Write the proportion equation
423,220,948,612 : 913,767,152,648 = 913,767,152,648 : x - Step 2: Convert to fraction form
423,220,948,612/913,767,152,648 = 913,767,152,648/x - Step 3: Cross multiply
423,220,948,612x = 913,767,152,648 × 913,767,152,648 - Step 4: Simplify right side
423,220,948,612x = 834,970,409,258,433,294,368,768 - Step 5: Solve for x
x = 834,970,409,258,433,294,368,768/423,220,948,612 - Step 6: Final answer
x = 1,972,894,801,159.56
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.