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Finding the Third Proportional to 180,809,893 and 392,443,364

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Solution

The third proportional to 180,809,893 and 392,443,364 is: 851,788,535.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,809,893 : 392,443,364 = 392,443,364 : x
  2. Step 2: Convert to fraction form
    180,809,893/392,443,364 = 392,443,364/x
  3. Step 3: Cross multiply
    180,809,893x = 392,443,364 × 392,443,364
  4. Step 4: Simplify right side
    180,809,893x = 154,011,793,947,636,480
  5. Step 5: Solve for x
    x = 154,011,793,947,636,480/180,809,893
  6. Step 6: Final answer
    x = 851,788,535.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.