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Finding the Third Proportional to 255,513 and 537,507

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Solution

The third proportional to 255,513 and 537,507 is: 1,130,720.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,513 : 537,507 = 537,507 : x
  2. Step 2: Convert to fraction form
    255,513/537,507 = 537,507/x
  3. Step 3: Cross multiply
    255,513x = 537,507 × 537,507
  4. Step 4: Simplify right side
    255,513x = 288,913,775,049
  5. Step 5: Solve for x
    x = 288,913,775,049/255,513
  6. Step 6: Final answer
    x = 1,130,720.45

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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.