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Finding the Third Proportional to 84,346 and 130,552

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Solution

The third proportional to 84,346 and 130,552 is: 202,070.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,346 : 130,552 = 130,552 : x
  2. Step 2: Convert to fraction form
    84,346/130,552 = 130,552/x
  3. Step 3: Cross multiply
    84,346x = 130,552 × 130,552
  4. Step 4: Simplify right side
    84,346x = 17,043,824,704
  5. Step 5: Solve for x
    x = 17,043,824,704/84,346
  6. Step 6: Final answer
    x = 202,070.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.