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Finding the Third Proportional to 370,380 and 524,428

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Solution

The third proportional to 370,380 and 524,428 is: 742,547.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,380 : 524,428 = 524,428 : x
  2. Step 2: Convert to fraction form
    370,380/524,428 = 524,428/x
  3. Step 3: Cross multiply
    370,380x = 524,428 × 524,428
  4. Step 4: Simplify right side
    370,380x = 275,024,727,184
  5. Step 5: Solve for x
    x = 275,024,727,184/370,380
  6. Step 6: Final answer
    x = 742,547.46

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.