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Finding the Third Proportional to 258,931.13 and 553,842

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Solution

The third proportional to 258,931.13 and 553,842 is: 1,184,643.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,931.13 : 553,842 = 553,842 : x
  2. Step 2: Convert to fraction form
    258,931.13/553,842 = 553,842/x
  3. Step 3: Cross multiply
    258,931.13x = 553,842 × 553,842
  4. Step 4: Simplify right side
    258,931.13x = 306,740,960,964
  5. Step 5: Solve for x
    x = 306,740,960,964/258,931.13
  6. Step 6: Final answer
    x = 1,184,643.06

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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.