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Finding the Third Proportional to 228,528 and 528,970

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Solution

The third proportional to 228,528 and 528,970 is: 1,224,398.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,528 : 528,970 = 528,970 : x
  2. Step 2: Convert to fraction form
    228,528/528,970 = 528,970/x
  3. Step 3: Cross multiply
    228,528x = 528,970 × 528,970
  4. Step 4: Simplify right side
    228,528x = 279,809,260,900
  5. Step 5: Solve for x
    x = 279,809,260,900/228,528
  6. Step 6: Final answer
    x = 1,224,398.15

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.