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Finding the Third Proportional to 356,490 and 556,605

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Solution

The third proportional to 356,490 and 556,605 is: 869,054.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,490 : 556,605 = 556,605 : x
  2. Step 2: Convert to fraction form
    356,490/556,605 = 556,605/x
  3. Step 3: Cross multiply
    356,490x = 556,605 × 556,605
  4. Step 4: Simplify right side
    356,490x = 309,809,126,025
  5. Step 5: Solve for x
    x = 309,809,126,025/356,490
  6. Step 6: Final answer
    x = 869,054.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.