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Finding the Third Proportional to 120,011,368 and 261,828,307

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Solution

The third proportional to 120,011,368 and 261,828,307 is: 571,229,738.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,011,368 : 261,828,307 = 261,828,307 : x
  2. Step 2: Convert to fraction form
    120,011,368/261,828,307 = 261,828,307/x
  3. Step 3: Cross multiply
    120,011,368x = 261,828,307 × 261,828,307
  4. Step 4: Simplify right side
    120,011,368x = 68,554,062,346,486,248
  5. Step 5: Solve for x
    x = 68,554,062,346,486,248/120,011,368
  6. Step 6: Final answer
    x = 571,229,738.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.