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Finding the Third Proportional to 487,314 and 750,000.38

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Solution

The third proportional to 487,314 and 750,000.38 is: 1,154,287.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,314 : 750,000.38 = 750,000.38 : x
  2. Step 2: Convert to fraction form
    487,314/750,000.38 = 750,000.38/x
  3. Step 3: Cross multiply
    487,314x = 750,000.38 × 750,000.38
  4. Step 4: Simplify right side
    487,314x = 562,500,562,500.14
  5. Step 5: Solve for x
    x = 562,500,562,500.14/487,314
  6. Step 6: Final answer
    x = 1,154,287.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.