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Finding the Third Proportional to 56,516 and 77,572

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Solution

The third proportional to 56,516 and 77,572 is: 106,472.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,516 : 77,572 = 77,572 : x
  2. Step 2: Convert to fraction form
    56,516/77,572 = 77,572/x
  3. Step 3: Cross multiply
    56,516x = 77,572 × 77,572
  4. Step 4: Simplify right side
    56,516x = 6,017,415,184
  5. Step 5: Solve for x
    x = 6,017,415,184/56,516
  6. Step 6: Final answer
    x = 106,472.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.