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Finding the Third Proportional to 202,328,402 and 477,464,846

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Solution

The third proportional to 202,328,402 and 477,464,846 is: 1,126,745,809.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,328,402 : 477,464,846 = 477,464,846 : x
  2. Step 2: Convert to fraction form
    202,328,402/477,464,846 = 477,464,846/x
  3. Step 3: Cross multiply
    202,328,402x = 477,464,846 × 477,464,846
  4. Step 4: Simplify right side
    202,328,402x = 227,972,679,165,803,712
  5. Step 5: Solve for x
    x = 227,972,679,165,803,712/202,328,402
  6. Step 6: Final answer
    x = 1,126,745,809.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.