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Finding the Third Proportional to 86,802,913 and 118,210,753.50

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Solution

The third proportional to 86,802,913 and 118,210,753.50 is: 160,982,872.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,802,913 : 118,210,753.50 = 118,210,753.50 : x
  2. Step 2: Convert to fraction form
    86,802,913/118,210,753.50 = 118,210,753.50/x
  3. Step 3: Cross multiply
    86,802,913x = 118,210,753.50 × 118,210,753.50
  4. Step 4: Simplify right side
    86,802,913x = 13,973,782,243,037,762
  5. Step 5: Solve for x
    x = 13,973,782,243,037,762/86,802,913
  6. Step 6: Final answer
    x = 160,982,872.12

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.