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Finding the Third Proportional to 977,169,438 and 2,129,920,956

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Solution

The third proportional to 977,169,438 and 2,129,920,956 is: 4,642,555,428.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,169,438 : 2,129,920,956 = 2,129,920,956 : x
  2. Step 2: Convert to fraction form
    977,169,438/2,129,920,956 = 2,129,920,956/x
  3. Step 3: Cross multiply
    977,169,438x = 2,129,920,956 × 2,129,920,956
  4. Step 4: Simplify right side
    977,169,438x = 4,536,563,278,807,953,920
  5. Step 5: Solve for x
    x = 4,536,563,278,807,953,920/977,169,438
  6. Step 6: Final answer
    x = 4,642,555,428.35

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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.