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Finding the Third Proportional to 151,434,921 and 329,402,709

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Solution

The third proportional to 151,434,921 and 329,402,709 is: 716,519,967.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,434,921 : 329,402,709 = 329,402,709 : x
  2. Step 2: Convert to fraction form
    151,434,921/329,402,709 = 329,402,709/x
  3. Step 3: Cross multiply
    151,434,921x = 329,402,709 × 329,402,709
  4. Step 4: Simplify right side
    151,434,921x = 108,506,144,696,538,688
  5. Step 5: Solve for x
    x = 108,506,144,696,538,688/151,434,921
  6. Step 6: Final answer
    x = 716,519,967.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.