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Finding the Third Proportional to 249,912 and 387,072

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Solution

The third proportional to 249,912 and 387,072 is: 599,509.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,912 : 387,072 = 387,072 : x
  2. Step 2: Convert to fraction form
    249,912/387,072 = 387,072/x
  3. Step 3: Cross multiply
    249,912x = 387,072 × 387,072
  4. Step 4: Simplify right side
    249,912x = 149,824,733,184
  5. Step 5: Solve for x
    x = 149,824,733,184/249,912
  6. Step 6: Final answer
    x = 599,509.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.