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Finding the Third Proportional to 29,821 and 64,312.50

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Solution

The third proportional to 29,821 and 64,312.50 is: 138,697.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,821 : 64,312.50 = 64,312.50 : x
  2. Step 2: Convert to fraction form
    29,821/64,312.50 = 64,312.50/x
  3. Step 3: Cross multiply
    29,821x = 64,312.50 × 64,312.50
  4. Step 4: Simplify right side
    29,821x = 4,136,097,656.25
  5. Step 5: Solve for x
    x = 4,136,097,656.25/29,821
  6. Step 6: Final answer
    x = 138,697.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.