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Finding the Third Proportional to 9,586,566 and 13,484,142

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Solution

The third proportional to 9,586,566 and 13,484,142 is: 18,966,341.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586,566 : 13,484,142 = 13,484,142 : x
  2. Step 2: Convert to fraction form
    9,586,566/13,484,142 = 13,484,142/x
  3. Step 3: Cross multiply
    9,586,566x = 13,484,142 × 13,484,142
  4. Step 4: Simplify right side
    9,586,566x = 181,822,085,476,164
  5. Step 5: Solve for x
    x = 181,822,085,476,164/9,586,566
  6. Step 6: Final answer
    x = 18,966,341.59

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.