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Finding the Third Proportional to 943,878,121 and 1,312,387,080

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Solution

The third proportional to 943,878,121 and 1,312,387,080 is: 1,824,769,331.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,878,121 : 1,312,387,080 = 1,312,387,080 : x
  2. Step 2: Convert to fraction form
    943,878,121/1,312,387,080 = 1,312,387,080/x
  3. Step 3: Cross multiply
    943,878,121x = 1,312,387,080 × 1,312,387,080
  4. Step 4: Simplify right side
    943,878,121x = 1,722,359,847,750,926,336
  5. Step 5: Solve for x
    x = 1,722,359,847,750,926,336/943,878,121
  6. Step 6: Final answer
    x = 1,824,769,331.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.