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Finding the Third Proportional to 56,520 and 90,342

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Solution

The third proportional to 56,520 and 90,342 is: 144,403.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,520 : 90,342 = 90,342 : x
  2. Step 2: Convert to fraction form
    56,520/90,342 = 90,342/x
  3. Step 3: Cross multiply
    56,520x = 90,342 × 90,342
  4. Step 4: Simplify right side
    56,520x = 8,161,676,964
  5. Step 5: Solve for x
    x = 8,161,676,964/56,520
  6. Step 6: Final answer
    x = 144,403.34

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.