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Finding the Third Proportional to 163,490 and 253,254

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Solution

The third proportional to 163,490 and 253,254 is: 392,302.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,490 : 253,254 = 253,254 : x
  2. Step 2: Convert to fraction form
    163,490/253,254 = 253,254/x
  3. Step 3: Cross multiply
    163,490x = 253,254 × 253,254
  4. Step 4: Simplify right side
    163,490x = 64,137,588,516
  5. Step 5: Solve for x
    x = 64,137,588,516/163,490
  6. Step 6: Final answer
    x = 392,302.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.