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Finding the Third Proportional to 528,257 and 1,138,650

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Solution

The third proportional to 528,257 and 1,138,650 is: 2,454,342.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,257 : 1,138,650 = 1,138,650 : x
  2. Step 2: Convert to fraction form
    528,257/1,138,650 = 1,138,650/x
  3. Step 3: Cross multiply
    528,257x = 1,138,650 × 1,138,650
  4. Step 4: Simplify right side
    528,257x = 1,296,523,822,500
  5. Step 5: Solve for x
    x = 1,296,523,822,500/528,257
  6. Step 6: Final answer
    x = 2,454,342.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.