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Finding the Third Proportional to 399,707,008 and 891,319,616

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Solution

The third proportional to 399,707,008 and 891,319,616 is: 1,987,582,509.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,707,008 : 891,319,616 = 891,319,616 : x
  2. Step 2: Convert to fraction form
    399,707,008/891,319,616 = 891,319,616/x
  3. Step 3: Cross multiply
    399,707,008x = 891,319,616 × 891,319,616
  4. Step 4: Simplify right side
    399,707,008x = 794,450,657,866,387,456
  5. Step 5: Solve for x
    x = 794,450,657,866,387,456/399,707,008
  6. Step 6: Final answer
    x = 1,987,582,509.10

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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.