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Finding the Third Proportional to 4,470,507 and 9,718,857

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Solution

The third proportional to 4,470,507 and 9,718,857 is: 21,128,740.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470,507 : 9,718,857 = 9,718,857 : x
  2. Step 2: Convert to fraction form
    4,470,507/9,718,857 = 9,718,857/x
  3. Step 3: Cross multiply
    4,470,507x = 9,718,857 × 9,718,857
  4. Step 4: Simplify right side
    4,470,507x = 94,456,181,386,449
  5. Step 5: Solve for x
    x = 94,456,181,386,449/4,470,507
  6. Step 6: Final answer
    x = 21,128,740.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.