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Finding the Third Proportional to 249,148 and 531,515

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Solution

The third proportional to 249,148 and 531,515 is: 1,133,897.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,148 : 531,515 = 531,515 : x
  2. Step 2: Convert to fraction form
    249,148/531,515 = 531,515/x
  3. Step 3: Cross multiply
    249,148x = 531,515 × 531,515
  4. Step 4: Simplify right side
    249,148x = 282,508,195,225
  5. Step 5: Solve for x
    x = 282,508,195,225/249,148
  6. Step 6: Final answer
    x = 1,133,897.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.