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Finding the Third Proportional to 130,612 and 272,528

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Solution

The third proportional to 130,612 and 272,528 is: 568,642.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,612 : 272,528 = 272,528 : x
  2. Step 2: Convert to fraction form
    130,612/272,528 = 272,528/x
  3. Step 3: Cross multiply
    130,612x = 272,528 × 272,528
  4. Step 4: Simplify right side
    130,612x = 74,271,510,784
  5. Step 5: Solve for x
    x = 74,271,510,784/130,612
  6. Step 6: Final answer
    x = 568,642.32

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.