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Finding the Third Proportional to 9,431,988 and 20,208,572

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Solution

The third proportional to 9,431,988 and 20,208,572 is: 43,298,017.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431,988 : 20,208,572 = 20,208,572 : x
  2. Step 2: Convert to fraction form
    9,431,988/20,208,572 = 20,208,572/x
  3. Step 3: Cross multiply
    9,431,988x = 20,208,572 × 20,208,572
  4. Step 4: Simplify right side
    9,431,988x = 408,386,382,279,184
  5. Step 5: Solve for x
    x = 408,386,382,279,184/9,431,988
  6. Step 6: Final answer
    x = 43,298,017.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.