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Finding the Third Proportional to 977,169,388 and 2,129,920,856

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Solution

The third proportional to 977,169,388 and 2,129,920,856 is: 4,642,555,229.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,169,388 : 2,129,920,856 = 2,129,920,856 : x
  2. Step 2: Convert to fraction form
    977,169,388/2,129,920,856 = 2,129,920,856/x
  3. Step 3: Cross multiply
    977,169,388x = 2,129,920,856 × 2,129,920,856
  4. Step 4: Simplify right side
    977,169,388x = 4,536,562,852,823,772,672
  5. Step 5: Solve for x
    x = 4,536,562,852,823,772,672/977,169,388
  6. Step 6: Final answer
    x = 4,642,555,229.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.