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Finding the Third Proportional to 147,329,239.50 and 320,815,344

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Solution

The third proportional to 147,329,239.50 and 320,815,344 is: 698,588,313.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,329,239.50 : 320,815,344 = 320,815,344 : x
  2. Step 2: Convert to fraction form
    147,329,239.50/320,815,344 = 320,815,344/x
  3. Step 3: Cross multiply
    147,329,239.50x = 320,815,344 × 320,815,344
  4. Step 4: Simplify right side
    147,329,239.50x = 102,922,484,945,838,336
  5. Step 5: Solve for x
    x = 102,922,484,945,838,336/147,329,239.50
  6. Step 6: Final answer
    x = 698,588,313.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.