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Finding the Third Proportional to 205,688 and 310,724

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Solution

The third proportional to 205,688 and 310,724 is: 469,397.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,688 : 310,724 = 310,724 : x
  2. Step 2: Convert to fraction form
    205,688/310,724 = 310,724/x
  3. Step 3: Cross multiply
    205,688x = 310,724 × 310,724
  4. Step 4: Simplify right side
    205,688x = 96,549,404,176
  5. Step 5: Solve for x
    x = 96,549,404,176/205,688
  6. Step 6: Final answer
    x = 469,397.36

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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.