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Finding the Third Proportional to 342,470 and 546,915

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Solution

The third proportional to 342,470 and 546,915 is: 873,407.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,470 : 546,915 = 546,915 : x
  2. Step 2: Convert to fraction form
    342,470/546,915 = 546,915/x
  3. Step 3: Cross multiply
    342,470x = 546,915 × 546,915
  4. Step 4: Simplify right side
    342,470x = 299,116,017,225
  5. Step 5: Solve for x
    x = 299,116,017,225/342,470
  6. Step 6: Final answer
    x = 873,407.94

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.