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Finding the Third Proportional to 302,807 and 657,128

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Solution

The third proportional to 302,807 and 657,128 is: 1,426,047.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,807 : 657,128 = 657,128 : x
  2. Step 2: Convert to fraction form
    302,807/657,128 = 657,128/x
  3. Step 3: Cross multiply
    302,807x = 657,128 × 657,128
  4. Step 4: Simplify right side
    302,807x = 431,817,208,384
  5. Step 5: Solve for x
    x = 431,817,208,384/302,807
  6. Step 6: Final answer
    x = 1,426,047.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.