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Finding the Third Proportional to 249,278 and 349,779

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Solution

The third proportional to 249,278 and 349,779 is: 490,798.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,278 : 349,779 = 349,779 : x
  2. Step 2: Convert to fraction form
    249,278/349,779 = 349,779/x
  3. Step 3: Cross multiply
    249,278x = 349,779 × 349,779
  4. Step 4: Simplify right side
    249,278x = 122,345,348,841
  5. Step 5: Solve for x
    x = 122,345,348,841/249,278
  6. Step 6: Final answer
    x = 490,798.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.