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Finding the Third Proportional to 316,128 and 562,089

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Solution

The third proportional to 316,128 and 562,089 is: 999,418.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,128 : 562,089 = 562,089 : x
  2. Step 2: Convert to fraction form
    316,128/562,089 = 562,089/x
  3. Step 3: Cross multiply
    316,128x = 562,089 × 562,089
  4. Step 4: Simplify right side
    316,128x = 315,944,043,921
  5. Step 5: Solve for x
    x = 315,944,043,921/316,128
  6. Step 6: Final answer
    x = 999,418.10

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.