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Finding the Third Proportional to 223,457 and 312,572

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Solution

The third proportional to 223,457 and 312,572 is: 437,226.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,457 : 312,572 = 312,572 : x
  2. Step 2: Convert to fraction form
    223,457/312,572 = 312,572/x
  3. Step 3: Cross multiply
    223,457x = 312,572 × 312,572
  4. Step 4: Simplify right side
    223,457x = 97,701,255,184
  5. Step 5: Solve for x
    x = 97,701,255,184/223,457
  6. Step 6: Final answer
    x = 437,226.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.