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Finding the Third Proportional to 153,411 and 235,473

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Solution

The third proportional to 153,411 and 235,473 is: 361,431.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,411 : 235,473 = 235,473 : x
  2. Step 2: Convert to fraction form
    153,411/235,473 = 235,473/x
  3. Step 3: Cross multiply
    153,411x = 235,473 × 235,473
  4. Step 4: Simplify right side
    153,411x = 55,447,533,729
  5. Step 5: Solve for x
    x = 55,447,533,729/153,411
  6. Step 6: Final answer
    x = 361,431.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.