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Finding the Third Proportional to 402,129,508.50 and 867,773,871

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Solution

The third proportional to 402,129,508.50 and 867,773,871 is: 1,872,609,383.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,129,508.50 : 867,773,871 = 867,773,871 : x
  2. Step 2: Convert to fraction form
    402,129,508.50/867,773,871 = 867,773,871/x
  3. Step 3: Cross multiply
    402,129,508.50x = 867,773,871 × 867,773,871
  4. Step 4: Simplify right side
    402,129,508.50x = 753,031,491,190,324,608
  5. Step 5: Solve for x
    x = 753,031,491,190,324,608/402,129,508.50
  6. Step 6: Final answer
    x = 1,872,609,383.97

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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.