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Finding the Third Proportional to 280,280 and 430,788

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Solution

The third proportional to 280,280 and 430,788 is: 662,117.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,280 : 430,788 = 430,788 : x
  2. Step 2: Convert to fraction form
    280,280/430,788 = 430,788/x
  3. Step 3: Cross multiply
    280,280x = 430,788 × 430,788
  4. Step 4: Simplify right side
    280,280x = 185,578,300,944
  5. Step 5: Solve for x
    x = 185,578,300,944/280,280
  6. Step 6: Final answer
    x = 662,117.53

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1.5x scale

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.