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Finding the Third Proportional to 146,746,140 and 319,860,940.50

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Solution

The third proportional to 146,746,140 and 319,860,940.50 is: 697,197,359.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,746,140 : 319,860,940.50 = 319,860,940.50 : x
  2. Step 2: Convert to fraction form
    146,746,140/319,860,940.50 = 319,860,940.50/x
  3. Step 3: Cross multiply
    146,746,140x = 319,860,940.50 × 319,860,940.50
  4. Step 4: Simplify right side
    146,746,140x = 102,311,021,257,544,544
  5. Step 5: Solve for x
    x = 102,311,021,257,544,544/146,746,140
  6. Step 6: Final answer
    x = 697,197,359.04

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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.