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Finding the Third Proportional to 1,287,885,771 and 2,779,726,788

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Solution

The third proportional to 1,287,885,771 and 2,779,726,788 is: 5,999,663,316.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287,885,771 : 2,779,726,788 = 2,779,726,788 : x
  2. Step 2: Convert to fraction form
    1,287,885,771/2,779,726,788 = 2,779,726,788/x
  3. Step 3: Cross multiply
    1,287,885,771x = 2,779,726,788 × 2,779,726,788
  4. Step 4: Simplify right side
    1,287,885,771x = 7,726,881,015,924,797,440
  5. Step 5: Solve for x
    x = 7,726,881,015,924,797,440/1,287,885,771
  6. Step 6: Final answer
    x = 5,999,663,316.36

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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.