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Finding the Third Proportional to 387,354,012 and 829,969,080

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Solution

The third proportional to 387,354,012 and 829,969,080 is: 1,778,343,975.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,354,012 : 829,969,080 = 829,969,080 : x
  2. Step 2: Convert to fraction form
    387,354,012/829,969,080 = 829,969,080/x
  3. Step 3: Cross multiply
    387,354,012x = 829,969,080 × 829,969,080
  4. Step 4: Simplify right side
    387,354,012x = 688,848,673,756,046,336
  5. Step 5: Solve for x
    x = 688,848,673,756,046,336/387,354,012
  6. Step 6: Final answer
    x = 1,778,343,975.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.