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Finding the Third Proportional to 78,010 and 152,130

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Solution

The third proportional to 78,010 and 152,130 is: 296,673.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,010 : 152,130 = 152,130 : x
  2. Step 2: Convert to fraction form
    78,010/152,130 = 152,130/x
  3. Step 3: Cross multiply
    78,010x = 152,130 × 152,130
  4. Step 4: Simplify right side
    78,010x = 23,143,536,900
  5. Step 5: Solve for x
    x = 23,143,536,900/78,010
  6. Step 6: Final answer
    x = 296,673.98

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.