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Finding the Third Proportional to 431,782,515 and 631,480,185

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Solution

The third proportional to 431,782,515 and 631,480,185 is: 923,537,221.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,782,515 : 631,480,185 = 631,480,185 : x
  2. Step 2: Convert to fraction form
    431,782,515/631,480,185 = 631,480,185/x
  3. Step 3: Cross multiply
    431,782,515x = 631,480,185 × 631,480,185
  4. Step 4: Simplify right side
    431,782,515x = 398,767,224,047,634,240
  5. Step 5: Solve for x
    x = 398,767,224,047,634,240/431,782,515
  6. Step 6: Final answer
    x = 923,537,221.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.