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Finding the Third Proportional to 424,038.38 and 655,742.25

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Solution

The third proportional to 424,038.38 and 655,742.25 is: 1,014,054.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,038.38 : 655,742.25 = 655,742.25 : x
  2. Step 2: Convert to fraction form
    424,038.38/655,742.25 = 655,742.25/x
  3. Step 3: Cross multiply
    424,038.38x = 655,742.25 × 655,742.25
  4. Step 4: Simplify right side
    424,038.38x = 429,997,898,435.06
  5. Step 5: Solve for x
    x = 429,997,898,435.06/424,038.38
  6. Step 6: Final answer
    x = 1,014,054.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.