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Finding the Third Proportional to 399,706,972 and 891,319,480

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Solution

The third proportional to 399,706,972 and 891,319,480 is: 1,987,582,081.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,706,972 : 891,319,480 = 891,319,480 : x
  2. Step 2: Convert to fraction form
    399,706,972/891,319,480 = 891,319,480/x
  3. Step 3: Cross multiply
    399,706,972x = 891,319,480 × 891,319,480
  4. Step 4: Simplify right side
    399,706,972x = 794,450,415,427,470,336
  5. Step 5: Solve for x
    x = 794,450,415,427,470,336/399,706,972
  6. Step 6: Final answer
    x = 1,987,582,081.57

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.