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Finding the Third Proportional to 90,413 and 133,776

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Solution

The third proportional to 90,413 and 133,776 is: 197,936.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,413 : 133,776 = 133,776 : x
  2. Step 2: Convert to fraction form
    90,413/133,776 = 133,776/x
  3. Step 3: Cross multiply
    90,413x = 133,776 × 133,776
  4. Step 4: Simplify right side
    90,413x = 17,896,018,176
  5. Step 5: Solve for x
    x = 17,896,018,176/90,413
  6. Step 6: Final answer
    x = 197,936.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.