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Finding the Third Proportional to 365,493 and 564,840

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Solution

The third proportional to 365,493 and 564,840 is: 872,914.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,493 : 564,840 = 564,840 : x
  2. Step 2: Convert to fraction form
    365,493/564,840 = 564,840/x
  3. Step 3: Cross multiply
    365,493x = 564,840 × 564,840
  4. Step 4: Simplify right side
    365,493x = 319,044,225,600
  5. Step 5: Solve for x
    x = 319,044,225,600/365,493
  6. Step 6: Final answer
    x = 872,914.74

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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.