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Finding the Third Proportional to 119,430,126,396 and 256,584,272,976

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Solution

The third proportional to 119,430,126,396 and 256,584,272,976 is: 551,246,918,389.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,430,126,396 : 256,584,272,976 = 256,584,272,976 : x
  2. Step 2: Convert to fraction form
    119,430,126,396/256,584,272,976 = 256,584,272,976/x
  3. Step 3: Cross multiply
    119,430,126,396x = 256,584,272,976 × 256,584,272,976
  4. Step 4: Simplify right side
    119,430,126,396x = 65,835,489,138,622,486,020,096
  5. Step 5: Solve for x
    x = 65,835,489,138,622,486,020,096/119,430,126,396
  6. Step 6: Final answer
    x = 551,246,918,389.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.