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Finding the Third Proportional to 417,008 and 910,480

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Solution

The third proportional to 417,008 and 910,480 is: 1,987,908.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,008 : 910,480 = 910,480 : x
  2. Step 2: Convert to fraction form
    417,008/910,480 = 910,480/x
  3. Step 3: Cross multiply
    417,008x = 910,480 × 910,480
  4. Step 4: Simplify right side
    417,008x = 828,973,830,400
  5. Step 5: Solve for x
    x = 828,973,830,400/417,008
  6. Step 6: Final answer
    x = 1,987,908.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.