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Finding the Third Proportional to 147,798 and 216,453

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Solution

The third proportional to 147,798 and 216,453 is: 316,999.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,798 : 216,453 = 216,453 : x
  2. Step 2: Convert to fraction form
    147,798/216,453 = 216,453/x
  3. Step 3: Cross multiply
    147,798x = 216,453 × 216,453
  4. Step 4: Simplify right side
    147,798x = 46,851,901,209
  5. Step 5: Solve for x
    x = 46,851,901,209/147,798
  6. Step 6: Final answer
    x = 316,999.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.