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Finding the Third Proportional to 137,913,218 and 205,674,051

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Solution

The third proportional to 137,913,218 and 205,674,051 is: 306,727,780.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,913,218 : 205,674,051 = 205,674,051 : x
  2. Step 2: Convert to fraction form
    137,913,218/205,674,051 = 205,674,051/x
  3. Step 3: Cross multiply
    137,913,218x = 205,674,051 × 205,674,051
  4. Step 4: Simplify right side
    137,913,218x = 42,301,815,254,750,600
  5. Step 5: Solve for x
    x = 42,301,815,254,750,600/137,913,218
  6. Step 6: Final answer
    x = 306,727,780.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.