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Finding the Third Proportional to 142,463,298 and 212,856,306

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Solution

The third proportional to 142,463,298 and 212,856,306 is: 318,031,434.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,463,298 : 212,856,306 = 212,856,306 : x
  2. Step 2: Convert to fraction form
    142,463,298/212,856,306 = 212,856,306/x
  3. Step 3: Cross multiply
    142,463,298x = 212,856,306 × 212,856,306
  4. Step 4: Simplify right side
    142,463,298x = 45,307,807,003,965,632
  5. Step 5: Solve for x
    x = 45,307,807,003,965,632/142,463,298
  6. Step 6: Final answer
    x = 318,031,434.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.