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Finding the Third Proportional to 249,440 and 380,386

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Solution

The third proportional to 249,440 and 380,386 is: 580,073.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,440 : 380,386 = 380,386 : x
  2. Step 2: Convert to fraction form
    249,440/380,386 = 380,386/x
  3. Step 3: Cross multiply
    249,440x = 380,386 × 380,386
  4. Step 4: Simplify right side
    249,440x = 144,693,508,996
  5. Step 5: Solve for x
    x = 144,693,508,996/249,440
  6. Step 6: Final answer
    x = 580,073.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.