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Finding the Third Proportional to 53,630 and 78,897

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Solution

The third proportional to 53,630 and 78,897 is: 116,068.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,630 : 78,897 = 78,897 : x
  2. Step 2: Convert to fraction form
    53,630/78,897 = 78,897/x
  3. Step 3: Cross multiply
    53,630x = 78,897 × 78,897
  4. Step 4: Simplify right side
    53,630x = 6,224,736,609
  5. Step 5: Solve for x
    x = 6,224,736,609/53,630
  6. Step 6: Final answer
    x = 116,068.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.