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Finding the Third Proportional to 205,129.50 and 310,428

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Solution

The third proportional to 205,129.50 and 310,428 is: 469,779.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,129.50 : 310,428 = 310,428 : x
  2. Step 2: Convert to fraction form
    205,129.50/310,428 = 310,428/x
  3. Step 3: Cross multiply
    205,129.50x = 310,428 × 310,428
  4. Step 4: Simplify right side
    205,129.50x = 96,365,543,184
  5. Step 5: Solve for x
    x = 96,365,543,184/205,129.50
  6. Step 6: Final answer
    x = 469,779.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.