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Finding the Third Proportional to 292,730 and 608,428

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Solution

The third proportional to 292,730 and 608,428 is: 1,264,594.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,730 : 608,428 = 608,428 : x
  2. Step 2: Convert to fraction form
    292,730/608,428 = 608,428/x
  3. Step 3: Cross multiply
    292,730x = 608,428 × 608,428
  4. Step 4: Simplify right side
    292,730x = 370,184,631,184
  5. Step 5: Solve for x
    x = 370,184,631,184/292,730
  6. Step 6: Final answer
    x = 1,264,594.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.