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Finding the Third Proportional to 202,843,476 and 303,071,139

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Solution

The third proportional to 202,843,476 and 303,071,139 is: 452,822,625.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,843,476 : 303,071,139 = 303,071,139 : x
  2. Step 2: Convert to fraction form
    202,843,476/303,071,139 = 303,071,139/x
  3. Step 3: Cross multiply
    202,843,476x = 303,071,139 × 303,071,139
  4. Step 4: Simplify right side
    202,843,476x = 91,852,115,294,757,328
  5. Step 5: Solve for x
    x = 91,852,115,294,757,328/202,843,476
  6. Step 6: Final answer
    x = 452,822,625.14

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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.