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Finding the Third Proportional to 30,653,820 and 51,087,642

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Solution

The third proportional to 30,653,820 and 51,087,642 is: 85,142,640.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,653,820 : 51,087,642 = 51,087,642 : x
  2. Step 2: Convert to fraction form
    30,653,820/51,087,642 = 51,087,642/x
  3. Step 3: Cross multiply
    30,653,820x = 51,087,642 × 51,087,642
  4. Step 4: Simplify right side
    30,653,820x = 2,609,947,165,120,164
  5. Step 5: Solve for x
    x = 2,609,947,165,120,164/30,653,820
  6. Step 6: Final answer
    x = 85,142,640.14

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.