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Finding the Third Proportional to 390,314.00 and 832,159.20

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Solution

The third proportional to 390,314.00 and 832,159.20 is: 1,774,184.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,314.00 : 832,159.20 = 832,159.20 : x
  2. Step 2: Convert to fraction form
    390,314.00/832,159.20 = 832,159.20/x
  3. Step 3: Cross multiply
    390,314.00x = 832,159.20 × 832,159.20
  4. Step 4: Simplify right side
    390,314.00x = 692,488,926,343.15
  5. Step 5: Solve for x
    x = 692,488,926,343.15/390,314.00
  6. Step 6: Final answer
    x = 1,774,184.17

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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.