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Finding the Third Proportional to 153,447 and 334,785

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Solution

The third proportional to 153,447 and 334,785 is: 730,421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,447 : 334,785 = 334,785 : x
  2. Step 2: Convert to fraction form
    153,447/334,785 = 334,785/x
  3. Step 3: Cross multiply
    153,447x = 334,785 × 334,785
  4. Step 4: Simplify right side
    153,447x = 112,080,996,225
  5. Step 5: Solve for x
    x = 112,080,996,225/153,447
  6. Step 6: Final answer
    x = 730,421.55

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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.