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Finding the Third Proportional to 280,948.50 and 430,798.50

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Solution

The third proportional to 280,948.50 and 430,798.50 is: 660,574.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,948.50 : 430,798.50 = 430,798.50 : x
  2. Step 2: Convert to fraction form
    280,948.50/430,798.50 = 430,798.50/x
  3. Step 3: Cross multiply
    280,948.50x = 430,798.50 × 430,798.50
  4. Step 4: Simplify right side
    280,948.50x = 185,587,347,602.25
  5. Step 5: Solve for x
    x = 185,587,347,602.25/280,948.50
  6. Step 6: Final answer
    x = 660,574.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.