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Finding the Third Proportional to 432,432 and 946,312

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Solution

The third proportional to 432,432 and 946,312 is: 2,070,860.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,432 : 946,312 = 946,312 : x
  2. Step 2: Convert to fraction form
    432,432/946,312 = 946,312/x
  3. Step 3: Cross multiply
    432,432x = 946,312 × 946,312
  4. Step 4: Simplify right side
    432,432x = 895,506,401,344
  5. Step 5: Solve for x
    x = 895,506,401,344/432,432
  6. Step 6: Final answer
    x = 2,070,860.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.