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Finding the Third Proportional to 310,952,478 and 680,481,852

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Solution

The third proportional to 310,952,478 and 680,481,852 is: 1,489,152,149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,952,478 : 680,481,852 = 680,481,852 : x
  2. Step 2: Convert to fraction form
    310,952,478/680,481,852 = 680,481,852/x
  3. Step 3: Cross multiply
    310,952,478x = 680,481,852 × 680,481,852
  4. Step 4: Simplify right side
    310,952,478x = 463,055,550,901,349,888
  5. Step 5: Solve for x
    x = 463,055,550,901,349,888/310,952,478
  6. Step 6: Final answer
    x = 1,489,152,149.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.