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Finding the Third Proportional to 426,346.50 and 615,946.50

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Solution

The third proportional to 426,346.50 and 615,946.50 is: 889,863.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,346.50 : 615,946.50 = 615,946.50 : x
  2. Step 2: Convert to fraction form
    426,346.50/615,946.50 = 615,946.50/x
  3. Step 3: Cross multiply
    426,346.50x = 615,946.50 × 615,946.50
  4. Step 4: Simplify right side
    426,346.50x = 379,390,090,862.25
  5. Step 5: Solve for x
    x = 379,390,090,862.25/426,346.50
  6. Step 6: Final answer
    x = 889,863.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.