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Finding the Third Proportional to 290,592 and 390,507

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Solution

The third proportional to 290,592 and 390,507 is: 524,776.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,592 : 390,507 = 390,507 : x
  2. Step 2: Convert to fraction form
    290,592/390,507 = 390,507/x
  3. Step 3: Cross multiply
    290,592x = 390,507 × 390,507
  4. Step 4: Simplify right side
    290,592x = 152,495,717,049
  5. Step 5: Solve for x
    x = 152,495,717,049/290,592
  6. Step 6: Final answer
    x = 524,776.03

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.