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Finding the Third Proportional to 331,858,815 and 478,021,630.50

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Solution

The third proportional to 331,858,815 and 478,021,630.50 is: 688,559,920.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,858,815 : 478,021,630.50 = 478,021,630.50 : x
  2. Step 2: Convert to fraction form
    331,858,815/478,021,630.50 = 478,021,630.50/x
  3. Step 3: Cross multiply
    331,858,815x = 478,021,630.50 × 478,021,630.50
  4. Step 4: Simplify right side
    331,858,815x = 228,504,679,225,878,528
  5. Step 5: Solve for x
    x = 228,504,679,225,878,528/331,858,815
  6. Step 6: Final answer
    x = 688,559,920.36

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.