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Finding the Third Proportional to 306,216 and 450,572

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Solution

The third proportional to 306,216 and 450,572 is: 662,980.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,216 : 450,572 = 450,572 : x
  2. Step 2: Convert to fraction form
    306,216/450,572 = 450,572/x
  3. Step 3: Cross multiply
    306,216x = 450,572 × 450,572
  4. Step 4: Simplify right side
    306,216x = 203,015,127,184
  5. Step 5: Solve for x
    x = 203,015,127,184/306,216
  6. Step 6: Final answer
    x = 662,980.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.