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Finding the Third Proportional to 130,410 and 278,044

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Solution

The third proportional to 130,410 and 278,044 is: 592,810.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,410 : 278,044 = 278,044 : x
  2. Step 2: Convert to fraction form
    130,410/278,044 = 278,044/x
  3. Step 3: Cross multiply
    130,410x = 278,044 × 278,044
  4. Step 4: Simplify right side
    130,410x = 77,308,465,936
  5. Step 5: Solve for x
    x = 77,308,465,936/130,410
  6. Step 6: Final answer
    x = 592,810.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.