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Finding the Third Proportional to 64,316 and 99,390

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Solution

The third proportional to 64,316 and 99,390 is: 153,591.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,316 : 99,390 = 99,390 : x
  2. Step 2: Convert to fraction form
    64,316/99,390 = 99,390/x
  3. Step 3: Cross multiply
    64,316x = 99,390 × 99,390
  4. Step 4: Simplify right side
    64,316x = 9,878,372,100
  5. Step 5: Solve for x
    x = 9,878,372,100/64,316
  6. Step 6: Final answer
    x = 153,591.21

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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.