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Finding the Third Proportional to 528,590 and 805,278

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Solution

The third proportional to 528,590 and 805,278 is: 1,226,797.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,590 : 805,278 = 805,278 : x
  2. Step 2: Convert to fraction form
    528,590/805,278 = 805,278/x
  3. Step 3: Cross multiply
    528,590x = 805,278 × 805,278
  4. Step 4: Simplify right side
    528,590x = 648,472,657,284
  5. Step 5: Solve for x
    x = 648,472,657,284/528,590
  6. Step 6: Final answer
    x = 1,226,797.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.