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Finding the Third Proportional to 644,929,984 and 972,740,012

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Solution

The third proportional to 644,929,984 and 972,740,012 is: 1,467,171,870.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,929,984 : 972,740,012 = 972,740,012 : x
  2. Step 2: Convert to fraction form
    644,929,984/972,740,012 = 972,740,012/x
  3. Step 3: Cross multiply
    644,929,984x = 972,740,012 × 972,740,012
  4. Step 4: Simplify right side
    644,929,984x = 946,223,130,945,760,128
  5. Step 5: Solve for x
    x = 946,223,130,945,760,128/644,929,984
  6. Step 6: Final answer
    x = 1,467,171,870.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.