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Finding the Third Proportional to 258,907.50 and 553,798.13

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Solution

The third proportional to 258,907.50 and 553,798.13 is: 1,184,563.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,907.50 : 553,798.13 = 553,798.13 : x
  2. Step 2: Convert to fraction form
    258,907.50/553,798.13 = 553,798.13/x
  3. Step 3: Cross multiply
    258,907.50x = 553,798.13 × 553,798.13
  4. Step 4: Simplify right side
    258,907.50x = 306,692,363,253.52
  5. Step 5: Solve for x
    x = 306,692,363,253.52/258,907.50
  6. Step 6: Final answer
    x = 1,184,563.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.