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Finding the Third Proportional to 130,403.25 and 278,030.81

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Solution

The third proportional to 130,403.25 and 278,030.81 is: 592,785.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,403.25 : 278,030.81 = 278,030.81 : x
  2. Step 2: Convert to fraction form
    130,403.25/278,030.81 = 278,030.81/x
  3. Step 3: Cross multiply
    130,403.25x = 278,030.81 × 278,030.81
  4. Step 4: Simplify right side
    130,403.25x = 77,301,132,699.41
  5. Step 5: Solve for x
    x = 77,301,132,699.41/130,403.25
  6. Step 6: Final answer
    x = 592,785.32

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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.