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Finding the Third Proportional to 158,149,303,274 and 240,924,123,202

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Solution

The third proportional to 158,149,303,274 and 240,924,123,202 is: 367,023,008,884.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,149,303,274 : 240,924,123,202 = 240,924,123,202 : x
  2. Step 2: Convert to fraction form
    158,149,303,274/240,924,123,202 = 240,924,123,202/x
  3. Step 3: Cross multiply
    158,149,303,274x = 240,924,123,202 × 240,924,123,202
  4. Step 4: Simplify right side
    158,149,303,274x = 58,044,433,140,652,475,154,432
  5. Step 5: Solve for x
    x = 58,044,433,140,652,475,154,432/158,149,303,274
  6. Step 6: Final answer
    x = 367,023,008,884.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.