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Finding the Third Proportional to 137,021,787 and 319,728,465

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Solution

The third proportional to 137,021,787 and 319,728,465 is: 746,058,663.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,021,787 : 319,728,465 = 319,728,465 : x
  2. Step 2: Convert to fraction form
    137,021,787/319,728,465 = 319,728,465/x
  3. Step 3: Cross multiply
    137,021,787x = 319,728,465 × 319,728,465
  4. Step 4: Simplify right side
    137,021,787x = 102,226,291,331,256,224
  5. Step 5: Solve for x
    x = 102,226,291,331,256,224/137,021,787
  6. Step 6: Final answer
    x = 746,058,663.88

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.