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Finding the Third Proportional to 205,130 and 310,432

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Solution

The third proportional to 205,130 and 310,432 is: 469,790.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,130 : 310,432 = 310,432 : x
  2. Step 2: Convert to fraction form
    205,130/310,432 = 310,432/x
  3. Step 3: Cross multiply
    205,130x = 310,432 × 310,432
  4. Step 4: Simplify right side
    205,130x = 96,368,026,624
  5. Step 5: Solve for x
    x = 96,368,026,624/205,130
  6. Step 6: Final answer
    x = 469,790.02

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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.