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Finding the Third Proportional to 564,398 and 874,280

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Solution

The third proportional to 564,398 and 874,280 is: 1,354,302.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,398 : 874,280 = 874,280 : x
  2. Step 2: Convert to fraction form
    564,398/874,280 = 874,280/x
  3. Step 3: Cross multiply
    564,398x = 874,280 × 874,280
  4. Step 4: Simplify right side
    564,398x = 764,365,518,400
  5. Step 5: Solve for x
    x = 764,365,518,400/564,398
  6. Step 6: Final answer
    x = 1,354,302.32

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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.