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Finding the Third Proportional to 419,013,243 and 987,730,726.50

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Solution

The third proportional to 419,013,243 and 987,730,726.50 is: 2,328,355,975.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,013,243 : 987,730,726.50 = 987,730,726.50 : x
  2. Step 2: Convert to fraction form
    419,013,243/987,730,726.50 = 987,730,726.50/x
  3. Step 3: Cross multiply
    419,013,243x = 987,730,726.50 × 987,730,726.50
  4. Step 4: Simplify right side
    419,013,243x = 975,611,988,072,217,856
  5. Step 5: Solve for x
    x = 975,611,988,072,217,856/419,013,243
  6. Step 6: Final answer
    x = 2,328,355,975.31

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.