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Finding the Third Proportional to 256,854 and 549,354

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Solution

The third proportional to 256,854 and 549,354 is: 1,174,946.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,854 : 549,354 = 549,354 : x
  2. Step 2: Convert to fraction form
    256,854/549,354 = 549,354/x
  3. Step 3: Cross multiply
    256,854x = 549,354 × 549,354
  4. Step 4: Simplify right side
    256,854x = 301,789,817,316
  5. Step 5: Solve for x
    x = 301,789,817,316/256,854
  6. Step 6: Final answer
    x = 1,174,946.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.