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Finding the Third Proportional to 359,430 and 556,659

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Solution

The third proportional to 359,430 and 556,659 is: 862,112.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,430 : 556,659 = 556,659 : x
  2. Step 2: Convert to fraction form
    359,430/556,659 = 556,659/x
  3. Step 3: Cross multiply
    359,430x = 556,659 × 556,659
  4. Step 4: Simplify right side
    359,430x = 309,869,242,281
  5. Step 5: Solve for x
    x = 309,869,242,281/359,430
  6. Step 6: Final answer
    x = 862,112.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.