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Finding the Third Proportional to 261,289.41 and 387,077.06

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Solution

The third proportional to 261,289.41 and 387,077.06 is: 573,420.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,289.41 : 387,077.06 = 387,077.06 : x
  2. Step 2: Convert to fraction form
    261,289.41/387,077.06 = 387,077.06/x
  3. Step 3: Cross multiply
    261,289.41x = 387,077.06 × 387,077.06
  4. Step 4: Simplify right side
    261,289.41x = 149,828,652,313.63
  5. Step 5: Solve for x
    x = 149,828,652,313.63/261,289.41
  6. Step 6: Final answer
    x = 573,420.31

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.