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Finding the Third Proportional to 286,583,676 and 621,823,728

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Solution

The third proportional to 286,583,676 and 621,823,728 is: 1,349,221,121.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,583,676 : 621,823,728 = 621,823,728 : x
  2. Step 2: Convert to fraction form
    286,583,676/621,823,728 = 621,823,728/x
  3. Step 3: Cross multiply
    286,583,676x = 621,823,728 × 621,823,728
  4. Step 4: Simplify right side
    286,583,676x = 386,664,748,703,817,984
  5. Step 5: Solve for x
    x = 386,664,748,703,817,984/286,583,676
  6. Step 6: Final answer
    x = 1,349,221,121.39

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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.