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Finding the Third Proportional to 455,547 and 986,208

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Solution

The third proportional to 455,547 and 986,208 is: 2,135,029.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,547 : 986,208 = 986,208 : x
  2. Step 2: Convert to fraction form
    455,547/986,208 = 986,208/x
  3. Step 3: Cross multiply
    455,547x = 986,208 × 986,208
  4. Step 4: Simplify right side
    455,547x = 972,606,219,264
  5. Step 5: Solve for x
    x = 972,606,219,264/455,547
  6. Step 6: Final answer
    x = 2,135,029.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.