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Finding the Third Proportional to 426,799,965 and 640,199,904

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Solution

The third proportional to 426,799,965 and 640,199,904 is: 960,299,790.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,799,965 : 640,199,904 = 640,199,904 : x
  2. Step 2: Convert to fraction form
    426,799,965/640,199,904 = 640,199,904/x
  3. Step 3: Cross multiply
    426,799,965x = 640,199,904 × 640,199,904
  4. Step 4: Simplify right side
    426,799,965x = 409,855,917,081,609,216
  5. Step 5: Solve for x
    x = 409,855,917,081,609,216/426,799,965
  6. Step 6: Final answer
    x = 960,299,790.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.