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Finding the Third Proportional to 52,303 and 78,572

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Solution

The third proportional to 52,303 and 78,572 is: 118,034.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,303 : 78,572 = 78,572 : x
  2. Step 2: Convert to fraction form
    52,303/78,572 = 78,572/x
  3. Step 3: Cross multiply
    52,303x = 78,572 × 78,572
  4. Step 4: Simplify right side
    52,303x = 6,173,559,184
  5. Step 5: Solve for x
    x = 6,173,559,184/52,303
  6. Step 6: Final answer
    x = 118,034.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.