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Finding the Third Proportional to 424,479 and 642,185

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Solution

The third proportional to 424,479 and 642,185 is: 971,547.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,479 : 642,185 = 642,185 : x
  2. Step 2: Convert to fraction form
    424,479/642,185 = 642,185/x
  3. Step 3: Cross multiply
    424,479x = 642,185 × 642,185
  4. Step 4: Simplify right side
    424,479x = 412,401,574,225
  5. Step 5: Solve for x
    x = 412,401,574,225/424,479
  6. Step 6: Final answer
    x = 971,547.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.