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Finding the Third Proportional to 142,463,299 and 212,856,307.50

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Solution

The third proportional to 142,463,299 and 212,856,307.50 is: 318,031,436.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,463,299 : 212,856,307.50 = 212,856,307.50 : x
  2. Step 2: Convert to fraction form
    142,463,299/212,856,307.50 = 212,856,307.50/x
  3. Step 3: Cross multiply
    142,463,299x = 212,856,307.50 × 212,856,307.50
  4. Step 4: Simplify right side
    142,463,299x = 45,307,807,642,534,560
  5. Step 5: Solve for x
    x = 45,307,807,642,534,560/142,463,299
  6. Step 6: Final answer
    x = 318,031,436.59

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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.