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Finding the Third Proportional to 164,127 and 257,134.50

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Solution

The third proportional to 164,127 and 257,134.50 is: 402,847.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,127 : 257,134.50 = 257,134.50 : x
  2. Step 2: Convert to fraction form
    164,127/257,134.50 = 257,134.50/x
  3. Step 3: Cross multiply
    164,127x = 257,134.50 × 257,134.50
  4. Step 4: Simplify right side
    164,127x = 66,118,151,090.25
  5. Step 5: Solve for x
    x = 66,118,151,090.25/164,127
  6. Step 6: Final answer
    x = 402,847.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.