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Finding the Third Proportional to 139,805,163 and 209,707,758

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Solution

The third proportional to 139,805,163 and 209,707,758 is: 314,561,657.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,805,163 : 209,707,758 = 209,707,758 : x
  2. Step 2: Convert to fraction form
    139,805,163/209,707,758 = 209,707,758/x
  3. Step 3: Cross multiply
    139,805,163x = 209,707,758 × 209,707,758
  4. Step 4: Simplify right side
    139,805,163x = 43,977,343,765,386,560
  5. Step 5: Solve for x
    x = 43,977,343,765,386,560/139,805,163
  6. Step 6: Final answer
    x = 314,561,657.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.