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Finding the Third Proportional to 140,362,911 and 312,999,741

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Solution

The third proportional to 140,362,911 and 312,999,741 is: 697,968,125.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,362,911 : 312,999,741 = 312,999,741 : x
  2. Step 2: Convert to fraction form
    140,362,911/312,999,741 = 312,999,741/x
  3. Step 3: Cross multiply
    140,362,911x = 312,999,741 × 312,999,741
  4. Step 4: Simplify right side
    140,362,911x = 97,968,837,866,067,088
  5. Step 5: Solve for x
    x = 97,968,837,866,067,088/140,362,911
  6. Step 6: Final answer
    x = 697,968,125.40

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.