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Finding the Third Proportional to 311,490 and 473,391

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Solution

The third proportional to 311,490 and 473,391 is: 719,442.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,490 : 473,391 = 473,391 : x
  2. Step 2: Convert to fraction form
    311,490/473,391 = 473,391/x
  3. Step 3: Cross multiply
    311,490x = 473,391 × 473,391
  4. Step 4: Simplify right side
    311,490x = 224,099,038,881
  5. Step 5: Solve for x
    x = 224,099,038,881/311,490
  6. Step 6: Final answer
    x = 719,442.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.