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Finding the Third Proportional to 249,798 and 380,915

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Solution

The third proportional to 249,798 and 380,915 is: 580,854.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,798 : 380,915 = 380,915 : x
  2. Step 2: Convert to fraction form
    249,798/380,915 = 380,915/x
  3. Step 3: Cross multiply
    249,798x = 380,915 × 380,915
  4. Step 4: Simplify right side
    249,798x = 145,096,237,225
  5. Step 5: Solve for x
    x = 145,096,237,225/249,798
  6. Step 6: Final answer
    x = 580,854.28

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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.