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Finding the Third Proportional to 407,409,041.25 and 646,176,031.88

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Solution

The third proportional to 407,409,041.25 and 646,176,031.88 is: 1,024,875,301.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,409,041.25 : 646,176,031.88 = 646,176,031.88 : x
  2. Step 2: Convert to fraction form
    407,409,041.25/646,176,031.88 = 646,176,031.88/x
  3. Step 3: Cross multiply
    407,409,041.25x = 646,176,031.88 × 646,176,031.88
  4. Step 4: Simplify right side
    407,409,041.25x = 417,543,464,169,721,024
  5. Step 5: Solve for x
    x = 417,543,464,169,721,024/407,409,041.25
  6. Step 6: Final answer
    x = 1,024,875,301.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.