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Finding the Third Proportional to 155,461 and 411,445

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Solution

The third proportional to 155,461 and 411,445 is: 1,088,935.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,461 : 411,445 = 411,445 : x
  2. Step 2: Convert to fraction form
    155,461/411,445 = 411,445/x
  3. Step 3: Cross multiply
    155,461x = 411,445 × 411,445
  4. Step 4: Simplify right side
    155,461x = 169,286,988,025
  5. Step 5: Solve for x
    x = 169,286,988,025/155,461
  6. Step 6: Final answer
    x = 1,088,935.41

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.