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Finding the Third Proportional to 630,258 and 906,018

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Solution

The third proportional to 630,258 and 906,018 is: 1,302,432.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,258 : 906,018 = 906,018 : x
  2. Step 2: Convert to fraction form
    630,258/906,018 = 906,018/x
  3. Step 3: Cross multiply
    630,258x = 906,018 × 906,018
  4. Step 4: Simplify right side
    630,258x = 820,868,616,324
  5. Step 5: Solve for x
    x = 820,868,616,324/630,258
  6. Step 6: Final answer
    x = 1,302,432.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.