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Finding the Third Proportional to 239,289 and 348,547

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Solution

The third proportional to 239,289 and 348,547 is: 507,691.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,289 : 348,547 = 348,547 : x
  2. Step 2: Convert to fraction form
    239,289/348,547 = 348,547/x
  3. Step 3: Cross multiply
    239,289x = 348,547 × 348,547
  4. Step 4: Simplify right side
    239,289x = 121,485,011,209
  5. Step 5: Solve for x
    x = 121,485,011,209/239,289
  6. Step 6: Final answer
    x = 507,691.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.