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Finding the Third Proportional to 153,420 and 334,731

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Solution

The third proportional to 153,420 and 334,731 is: 730,314.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,420 : 334,731 = 334,731 : x
  2. Step 2: Convert to fraction form
    153,420/334,731 = 334,731/x
  3. Step 3: Cross multiply
    153,420x = 334,731 × 334,731
  4. Step 4: Simplify right side
    153,420x = 112,044,842,361
  5. Step 5: Solve for x
    x = 112,044,842,361/153,420
  6. Step 6: Final answer
    x = 730,314.45

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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.