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Finding the Third Proportional to 350,196 and 509,985

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Solution

The third proportional to 350,196 and 509,985 is: 742,683.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,196 : 509,985 = 509,985 : x
  2. Step 2: Convert to fraction form
    350,196/509,985 = 509,985/x
  3. Step 3: Cross multiply
    350,196x = 509,985 × 509,985
  4. Step 4: Simplify right side
    350,196x = 260,084,700,225
  5. Step 5: Solve for x
    x = 260,084,700,225/350,196
  6. Step 6: Final answer
    x = 742,683.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.