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Finding the Third Proportional to 290,870,892 and 646,311,042

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Solution

The third proportional to 290,870,892 and 646,311,042 is: 1,436,094,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,870,892 : 646,311,042 = 646,311,042 : x
  2. Step 2: Convert to fraction form
    290,870,892/646,311,042 = 646,311,042/x
  3. Step 3: Cross multiply
    290,870,892x = 646,311,042 × 646,311,042
  4. Step 4: Simplify right side
    290,870,892x = 417,717,963,011,125,760
  5. Step 5: Solve for x
    x = 417,717,963,011,125,760/290,870,892
  6. Step 6: Final answer
    x = 1,436,094,069.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.