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Finding the Third Proportional to 86,182,752 and 137,200,237.88

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Solution

The third proportional to 86,182,752 and 137,200,237.88 is: 218,418,475.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,182,752 : 137,200,237.88 = 137,200,237.88 : x
  2. Step 2: Convert to fraction form
    86,182,752/137,200,237.88 = 137,200,237.88/x
  3. Step 3: Cross multiply
    86,182,752x = 137,200,237.88 × 137,200,237.88
  4. Step 4: Simplify right side
    86,182,752x = 18,823,905,272,956,584
  5. Step 5: Solve for x
    x = 18,823,905,272,956,584/86,182,752
  6. Step 6: Final answer
    x = 218,418,475.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.