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Finding the Third Proportional to 120,930,552 and 257,700,983

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Solution

The third proportional to 120,930,552 and 257,700,983 is: 549,156,483.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,930,552 : 257,700,983 = 257,700,983 : x
  2. Step 2: Convert to fraction form
    120,930,552/257,700,983 = 257,700,983/x
  3. Step 3: Cross multiply
    120,930,552x = 257,700,983 × 257,700,983
  4. Step 4: Simplify right side
    120,930,552x = 66,409,796,639,166,288
  5. Step 5: Solve for x
    x = 66,409,796,639,166,288/120,930,552
  6. Step 6: Final answer
    x = 549,156,483.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.