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Finding the Third Proportional to 255,515 and 537,511

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Solution

The third proportional to 255,515 and 537,511 is: 1,130,728.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,515 : 537,511 = 537,511 : x
  2. Step 2: Convert to fraction form
    255,515/537,511 = 537,511/x
  3. Step 3: Cross multiply
    255,515x = 537,511 × 537,511
  4. Step 4: Simplify right side
    255,515x = 288,918,075,121
  5. Step 5: Solve for x
    x = 288,918,075,121/255,515
  6. Step 6: Final answer
    x = 1,130,728.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.