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Finding the Third Proportional to 421,863,384 and 671,296,603.50

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Solution

The third proportional to 421,863,384 and 671,296,603.50 is: 1,068,211,053.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,863,384 : 671,296,603.50 = 671,296,603.50 : x
  2. Step 2: Convert to fraction form
    421,863,384/671,296,603.50 = 671,296,603.50/x
  3. Step 3: Cross multiply
    421,863,384x = 671,296,603.50 × 671,296,603.50
  4. Step 4: Simplify right side
    421,863,384x = 450,639,129,870,636,224
  5. Step 5: Solve for x
    x = 450,639,129,870,636,224/421,863,384
  6. Step 6: Final answer
    x = 1,068,211,053.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.