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Finding the Third Proportional to 387,110 and 835,454

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Solution

The third proportional to 387,110 and 835,454 is: 1,803,062.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,110 : 835,454 = 835,454 : x
  2. Step 2: Convert to fraction form
    387,110/835,454 = 835,454/x
  3. Step 3: Cross multiply
    387,110x = 835,454 × 835,454
  4. Step 4: Simplify right side
    387,110x = 697,983,386,116
  5. Step 5: Solve for x
    x = 697,983,386,116/387,110
  6. Step 6: Final answer
    x = 1,803,062.14

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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.