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Finding the Third Proportional to 261,312 and 390,954

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Solution

The third proportional to 261,312 and 390,954 is: 584,913.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,312 : 390,954 = 390,954 : x
  2. Step 2: Convert to fraction form
    261,312/390,954 = 390,954/x
  3. Step 3: Cross multiply
    261,312x = 390,954 × 390,954
  4. Step 4: Simplify right side
    261,312x = 152,845,030,116
  5. Step 5: Solve for x
    x = 152,845,030,116/261,312
  6. Step 6: Final answer
    x = 584,913.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.