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Finding the Third Proportional to 192,084,688 and 420,599,072

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Solution

The third proportional to 192,084,688 and 420,599,072 is: 920,966,586.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,084,688 : 420,599,072 = 420,599,072 : x
  2. Step 2: Convert to fraction form
    192,084,688/420,599,072 = 420,599,072/x
  3. Step 3: Cross multiply
    192,084,688x = 420,599,072 × 420,599,072
  4. Step 4: Simplify right side
    192,084,688x = 176,903,579,367,261,184
  5. Step 5: Solve for x
    x = 176,903,579,367,261,184/192,084,688
  6. Step 6: Final answer
    x = 920,966,586.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.