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Finding the Third Proportional to 247,547 and 371,865

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Solution

The third proportional to 247,547 and 371,865 is: 558,615.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,547 : 371,865 = 371,865 : x
  2. Step 2: Convert to fraction form
    247,547/371,865 = 371,865/x
  3. Step 3: Cross multiply
    247,547x = 371,865 × 371,865
  4. Step 4: Simplify right side
    247,547x = 138,283,578,225
  5. Step 5: Solve for x
    x = 138,283,578,225/247,547
  6. Step 6: Final answer
    x = 558,615.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.