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Finding the Third Proportional to 272,520 and 390,095

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Solution

The third proportional to 272,520 and 390,095 is: 558,396.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,520 : 390,095 = 390,095 : x
  2. Step 2: Convert to fraction form
    272,520/390,095 = 390,095/x
  3. Step 3: Cross multiply
    272,520x = 390,095 × 390,095
  4. Step 4: Simplify right side
    272,520x = 152,174,109,025
  5. Step 5: Solve for x
    x = 152,174,109,025/272,520
  6. Step 6: Final answer
    x = 558,396.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.