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Finding the Third Proportional to 431,948.25 and 581,492.25

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Solution

The third proportional to 431,948.25 and 581,492.25 is: 782,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,948.25 : 581,492.25 = 581,492.25 : x
  2. Step 2: Convert to fraction form
    431,948.25/581,492.25 = 581,492.25/x
  3. Step 3: Cross multiply
    431,948.25x = 581,492.25 × 581,492.25
  4. Step 4: Simplify right side
    431,948.25x = 338,133,236,810.06
  5. Step 5: Solve for x
    x = 338,133,236,810.06/431,948.25
  6. Step 6: Final answer
    x = 782,809.60

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.