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Finding the Third Proportional to 53,630 and 124,688

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Solution

The third proportional to 53,630 and 124,688 is: 289,895.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,630 : 124,688 = 124,688 : x
  2. Step 2: Convert to fraction form
    53,630/124,688 = 124,688/x
  3. Step 3: Cross multiply
    53,630x = 124,688 × 124,688
  4. Step 4: Simplify right side
    53,630x = 15,547,097,344
  5. Step 5: Solve for x
    x = 15,547,097,344/53,630
  6. Step 6: Final answer
    x = 289,895.53

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.