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Finding the Third Proportional to 387,435 and 581,130

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Solution

The third proportional to 387,435 and 581,130 is: 871,661.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,435 : 581,130 = 581,130 : x
  2. Step 2: Convert to fraction form
    387,435/581,130 = 581,130/x
  3. Step 3: Cross multiply
    387,435x = 581,130 × 581,130
  4. Step 4: Simplify right side
    387,435x = 337,712,076,900
  5. Step 5: Solve for x
    x = 337,712,076,900/387,435
  6. Step 6: Final answer
    x = 871,661.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.