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Finding the Third Proportional to 257,988 and 390,877

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Solution

The third proportional to 257,988 and 390,877 is: 592,216.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,988 : 390,877 = 390,877 : x
  2. Step 2: Convert to fraction form
    257,988/390,877 = 390,877/x
  3. Step 3: Cross multiply
    257,988x = 390,877 × 390,877
  4. Step 4: Simplify right side
    257,988x = 152,784,829,129
  5. Step 5: Solve for x
    x = 152,784,829,129/257,988
  6. Step 6: Final answer
    x = 592,216.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.