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Finding the Third Proportional to 264,386 and 515,488

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Solution

The third proportional to 264,386 and 515,488 is: 1,005,075.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,386 : 515,488 = 515,488 : x
  2. Step 2: Convert to fraction form
    264,386/515,488 = 515,488/x
  3. Step 3: Cross multiply
    264,386x = 515,488 × 515,488
  4. Step 4: Simplify right side
    264,386x = 265,727,878,144
  5. Step 5: Solve for x
    x = 265,727,878,144/264,386
  6. Step 6: Final answer
    x = 1,005,075.45

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.