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Finding the Third Proportional to 8,081,670 and 12,547,521

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Solution

The third proportional to 8,081,670 and 12,547,521 is: 19,481,157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,081,670 : 12,547,521 = 12,547,521 : x
  2. Step 2: Convert to fraction form
    8,081,670/12,547,521 = 12,547,521/x
  3. Step 3: Cross multiply
    8,081,670x = 12,547,521 × 12,547,521
  4. Step 4: Simplify right side
    8,081,670x = 157,440,283,245,441
  5. Step 5: Solve for x
    x = 157,440,283,245,441/8,081,670
  6. Step 6: Final answer
    x = 19,481,157.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.