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Finding the Third Proportional to 121,288,293 and 198,031,903.50

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Solution

The third proportional to 121,288,293 and 198,031,903.50 is: 323,334,048.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,288,293 : 198,031,903.50 = 198,031,903.50 : x
  2. Step 2: Convert to fraction form
    121,288,293/198,031,903.50 = 198,031,903.50/x
  3. Step 3: Cross multiply
    121,288,293x = 198,031,903.50 × 198,031,903.50
  4. Step 4: Simplify right side
    121,288,293x = 39,216,634,803,833,312
  5. Step 5: Solve for x
    x = 39,216,634,803,833,312/121,288,293
  6. Step 6: Final answer
    x = 323,334,048.44

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.