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Finding the Third Proportional to 142,720.52 and 297,248.38

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Solution

The third proportional to 142,720.52 and 297,248.38 is: 619,088.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,720.52 : 297,248.38 = 297,248.38 : x
  2. Step 2: Convert to fraction form
    142,720.52/297,248.38 = 297,248.38/x
  3. Step 3: Cross multiply
    142,720.52x = 297,248.38 × 297,248.38
  4. Step 4: Simplify right side
    142,720.52x = 88,356,598,762.39
  5. Step 5: Solve for x
    x = 88,356,598,762.39/142,720.52
  6. Step 6: Final answer
    x = 619,088.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.