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Finding the Third Proportional to 61,607 and 89,539

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Solution

The third proportional to 61,607 and 89,539 is: 130,135.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,607 : 89,539 = 89,539 : x
  2. Step 2: Convert to fraction form
    61,607/89,539 = 89,539/x
  3. Step 3: Cross multiply
    61,607x = 89,539 × 89,539
  4. Step 4: Simplify right side
    61,607x = 8,017,232,521
  5. Step 5: Solve for x
    x = 8,017,232,521/61,607
  6. Step 6: Final answer
    x = 130,135.09

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.