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Finding the Third Proportional to 402,129,697 and 867,774,247

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Solution

The third proportional to 402,129,697 and 867,774,247 is: 1,872,610,128.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,129,697 : 867,774,247 = 867,774,247 : x
  2. Step 2: Convert to fraction form
    402,129,697/867,774,247 = 867,774,247/x
  3. Step 3: Cross multiply
    402,129,697x = 867,774,247 × 867,774,247
  4. Step 4: Simplify right side
    402,129,697x = 753,032,143,756,417,024
  5. Step 5: Solve for x
    x = 753,032,143,756,417,024/402,129,697
  6. Step 6: Final answer
    x = 1,872,610,128.96

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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.