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Finding the Third Proportional to 334,445 and 721,135

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Solution

The third proportional to 334,445 and 721,135 is: 1,554,921.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,445 : 721,135 = 721,135 : x
  2. Step 2: Convert to fraction form
    334,445/721,135 = 721,135/x
  3. Step 3: Cross multiply
    334,445x = 721,135 × 721,135
  4. Step 4: Simplify right side
    334,445x = 520,035,688,225
  5. Step 5: Solve for x
    x = 520,035,688,225/334,445
  6. Step 6: Final answer
    x = 1,554,921.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.