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Finding the Third Proportional to 288,703,929.80 and 592,712,931.73

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Solution

The third proportional to 288,703,929.80 and 592,712,931.73 is: 1,216,847,376.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,703,929.80 : 592,712,931.73 = 592,712,931.73 : x
  2. Step 2: Convert to fraction form
    288,703,929.80/592,712,931.73 = 592,712,931.73/x
  3. Step 3: Cross multiply
    288,703,929.80x = 592,712,931.73 × 592,712,931.73
  4. Step 4: Simplify right side
    288,703,929.80x = 351,308,619,435,941,248
  5. Step 5: Solve for x
    x = 351,308,619,435,941,248/288,703,929.80
  6. Step 6: Final answer
    x = 1,216,847,376.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.