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Finding the Third Proportional to 537,021,156 and 802,224,412.50

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Solution

The third proportional to 537,021,156 and 802,224,412.50 is: 1,198,396,005.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,021,156 : 802,224,412.50 = 802,224,412.50 : x
  2. Step 2: Convert to fraction form
    537,021,156/802,224,412.50 = 802,224,412.50/x
  3. Step 3: Cross multiply
    537,021,156x = 802,224,412.50 × 802,224,412.50
  4. Step 4: Simplify right side
    537,021,156x = 643,564,008,010,970,112
  5. Step 5: Solve for x
    x = 643,564,008,010,970,112/537,021,156
  6. Step 6: Final answer
    x = 1,198,396,005.11

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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.