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Finding the Third Proportional to 410,359 and 630,362

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Solution

The third proportional to 410,359 and 630,362 is: 968,313.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,359 : 630,362 = 630,362 : x
  2. Step 2: Convert to fraction form
    410,359/630,362 = 630,362/x
  3. Step 3: Cross multiply
    410,359x = 630,362 × 630,362
  4. Step 4: Simplify right side
    410,359x = 397,356,251,044
  5. Step 5: Solve for x
    x = 397,356,251,044/410,359
  6. Step 6: Final answer
    x = 968,313.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.