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Finding the Third Proportional to 239,270 and 371,547

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Solution

The third proportional to 239,270 and 371,547 is: 576,951.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,270 : 371,547 = 371,547 : x
  2. Step 2: Convert to fraction form
    239,270/371,547 = 371,547/x
  3. Step 3: Cross multiply
    239,270x = 371,547 × 371,547
  4. Step 4: Simplify right side
    239,270x = 138,047,173,209
  5. Step 5: Solve for x
    x = 138,047,173,209/239,270
  6. Step 6: Final answer
    x = 576,951.45

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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.