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Finding the Third Proportional to 537,021,184.50 and 802,224,450

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Solution

The third proportional to 537,021,184.50 and 802,224,450 is: 1,198,396,053.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,021,184.50 : 802,224,450 = 802,224,450 : x
  2. Step 2: Convert to fraction form
    537,021,184.50/802,224,450 = 802,224,450/x
  3. Step 3: Cross multiply
    537,021,184.50x = 802,224,450 × 802,224,450
  4. Step 4: Simplify right side
    537,021,184.50x = 643,564,068,177,802,496
  5. Step 5: Solve for x
    x = 643,564,068,177,802,496/537,021,184.50
  6. Step 6: Final answer
    x = 1,198,396,053.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.