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Finding the Third Proportional to 77,878,306 and 121,065,347

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Solution

The third proportional to 77,878,306 and 121,065,347 is: 188,201,554.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,878,306 : 121,065,347 = 121,065,347 : x
  2. Step 2: Convert to fraction form
    77,878,306/121,065,347 = 121,065,347/x
  3. Step 3: Cross multiply
    77,878,306x = 121,065,347 × 121,065,347
  4. Step 4: Simplify right side
    77,878,306x = 14,656,818,244,230,408
  5. Step 5: Solve for x
    x = 14,656,818,244,230,408/77,878,306
  6. Step 6: Final answer
    x = 188,201,554.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.