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Finding the Third Proportional to 286,464 and 623,904

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Solution

The third proportional to 286,464 and 623,904 is: 1,358,831.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,464 : 623,904 = 623,904 : x
  2. Step 2: Convert to fraction form
    286,464/623,904 = 623,904/x
  3. Step 3: Cross multiply
    286,464x = 623,904 × 623,904
  4. Step 4: Simplify right side
    286,464x = 389,256,201,216
  5. Step 5: Solve for x
    x = 389,256,201,216/286,464
  6. Step 6: Final answer
    x = 1,358,831.13

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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.