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Finding the Third Proportional to 310,210,580.25 and 672,121,010.25

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Solution

The third proportional to 310,210,580.25 and 672,121,010.25 is: 1,456,258,042.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,210,580.25 : 672,121,010.25 = 672,121,010.25 : x
  2. Step 2: Convert to fraction form
    310,210,580.25/672,121,010.25 = 672,121,010.25/x
  3. Step 3: Cross multiply
    310,210,580.25x = 672,121,010.25 × 672,121,010.25
  4. Step 4: Simplify right side
    310,210,580.25x = 451,746,652,419,480,576
  5. Step 5: Solve for x
    x = 451,746,652,419,480,576/310,210,580.25
  6. Step 6: Final answer
    x = 1,456,258,042.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.