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Finding the Third Proportional to 476,343,634 and 1,031,840,840

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Solution

The third proportional to 476,343,634 and 1,031,840,840 is: 2,235,141,698.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,343,634 : 1,031,840,840 = 1,031,840,840 : x
  2. Step 2: Convert to fraction form
    476,343,634/1,031,840,840 = 1,031,840,840/x
  3. Step 3: Cross multiply
    476,343,634x = 1,031,840,840 × 1,031,840,840
  4. Step 4: Simplify right side
    476,343,634x = 1,064,695,519,091,905,536
  5. Step 5: Solve for x
    x = 1,064,695,519,091,905,536/476,343,634
  6. Step 6: Final answer
    x = 2,235,141,698.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.