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Finding the Third Proportional to 272,160 and 592,920

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Solution

The third proportional to 272,160 and 592,920 is: 1,291,718.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,160 : 592,920 = 592,920 : x
  2. Step 2: Convert to fraction form
    272,160/592,920 = 592,920/x
  3. Step 3: Cross multiply
    272,160x = 592,920 × 592,920
  4. Step 4: Simplify right side
    272,160x = 351,554,126,400
  5. Step 5: Solve for x
    x = 351,554,126,400/272,160
  6. Step 6: Final answer
    x = 1,291,718.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.