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Finding the Third Proportional to 118,988 and 258,712

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Solution

The third proportional to 118,988 and 258,712 is: 562,509.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,988 : 258,712 = 258,712 : x
  2. Step 2: Convert to fraction form
    118,988/258,712 = 258,712/x
  3. Step 3: Cross multiply
    118,988x = 258,712 × 258,712
  4. Step 4: Simplify right side
    118,988x = 66,931,898,944
  5. Step 5: Solve for x
    x = 66,931,898,944/118,988
  6. Step 6: Final answer
    x = 562,509.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.