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Finding the Third Proportional to 288,937 and 430,345.50

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Solution

The third proportional to 288,937 and 430,345.50 is: 640,960.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,937 : 430,345.50 = 430,345.50 : x
  2. Step 2: Convert to fraction form
    288,937/430,345.50 = 430,345.50/x
  3. Step 3: Cross multiply
    288,937x = 430,345.50 × 430,345.50
  4. Step 4: Simplify right side
    288,937x = 185,197,249,370.25
  5. Step 5: Solve for x
    x = 185,197,249,370.25/288,937
  6. Step 6: Final answer
    x = 640,960.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.