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Finding the Third Proportional to 58,446 and 90,423

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Solution

The third proportional to 58,446 and 90,423 is: 139,895.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,446 : 90,423 = 90,423 : x
  2. Step 2: Convert to fraction form
    58,446/90,423 = 90,423/x
  3. Step 3: Cross multiply
    58,446x = 90,423 × 90,423
  4. Step 4: Simplify right side
    58,446x = 8,176,318,929
  5. Step 5: Solve for x
    x = 8,176,318,929/58,446
  6. Step 6: Final answer
    x = 139,895.27

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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.