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Finding the Third Proportional to 802,430,988 and 1,108,777,338

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Solution

The third proportional to 802,430,988 and 1,108,777,338 is: 1,532,078,401.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,430,988 : 1,108,777,338 = 1,108,777,338 : x
  2. Step 2: Convert to fraction form
    802,430,988/1,108,777,338 = 1,108,777,338/x
  3. Step 3: Cross multiply
    802,430,988x = 1,108,777,338 × 1,108,777,338
  4. Step 4: Simplify right side
    802,430,988x = 1,229,387,185,262,366,208
  5. Step 5: Solve for x
    x = 1,229,387,185,262,366,208/802,430,988
  6. Step 6: Final answer
    x = 1,532,078,401.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.