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Finding the Third Proportional to 433,128,820 and 935,290,862

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Solution

The third proportional to 433,128,820 and 935,290,862 is: 2,019,650,866.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,128,820 : 935,290,862 = 935,290,862 : x
  2. Step 2: Convert to fraction form
    433,128,820/935,290,862 = 935,290,862/x
  3. Step 3: Cross multiply
    433,128,820x = 935,290,862 × 935,290,862
  4. Step 4: Simplify right side
    433,128,820x = 874,768,996,540,703,104
  5. Step 5: Solve for x
    x = 874,768,996,540,703,104/433,128,820
  6. Step 6: Final answer
    x = 2,019,650,866.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.